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Prof. Dr. Ivan Veselić - Talks


Ivan Veselić - CV - Publications - Talks


 

2018

Title: Necessary and sufficient geometric condition for null-controllability of the heat equation on R^d.
Institution:

Fernuni Hagen

Occasion:

Workshop on "Control theory of infinite-dimensional systems"

Date:

10. Januar - 12. Januar 2018

Abstract:

In this talk we discuss the control problem for the heat equation on R^d, d≥1, with control set ω ⊂ R^d. We provide a sufficient and necessary condition (called (Γ,a)-thickness) on ω such that the heat equation is null-controllable. We give an estimate of the control cost with explicit dependency on the characteristic geometric parameters of the control set. Finally, we derive a control cost estimate for the heat equation on cubes with periodic, Dirichlet, or Neumann boundary conditions, where the control sets are again assumed to be thick. We show that the control cost estimate consistent with the R^d case. (This is joint work with Michela Egidid.)

 

2017

Title: Glivenko Cantelli and Ergodic Theorem on groups.
Institution:

Ruhr Uni Bochum (RUB)

Occasion:

RTG 2131-Seminar

Date:

23.10.2017

 

Title: Glivenko Cantelli and Banach-space ergodic theorems applied to the uniform approximation of the integrated density of states
Institution:

Universität Trier

Occasion:

French-German meeting Aspect 17: Asymptotic Analysis and Spectral Theory

Date:

25.September - 29.September 2017

Abstract:

The integrated density of states is the cumulative distribution function of the spectral measure of a random ergodic Hamiltonian. It can be approximated by cumulative distribution functions associated to finite volume Hamiltonians. We study uniform convergence for this approximation in the case where the Hamiltonian is defined on an Euclidean lattice, or more generally, on a discrete amenable group. We obtain a convergence estimate which can be seen as a special case of a Banach space valued Ergodic Theorem. Our proof relies on multivariate Glivenko-Cantelli Theorems. (This is joint work with Christoph Schumacher and Fabian Schwarzenberger.)

 

Title: Glivenko-Cantelli Theory, Banach-space valued Ergodic Theorems and uniform approximation of the integrated density of states
Institution:

Universität Potsdam

Occasion:

International Conference on Analysis and Geometry on Graphs and Manifolds

Date:

31.Juli - 04.August 2017

Abstract:

The integrated density of states is the cumulative distribution function of the spectral measure of a random ergodic Hamiltonian. It can be approximated by cumulative distribution functions associated to finite volume Hamiltonians. We study uniform convergence for this approximation in the case where the Hamiltonian is defined on an Euclidean lattice, or more generally, on a discrete amenable group. We obtain a convergence estimate which can be seen as a special case of a Banach space valued Ergodic Theorem. Our proof relies on multivariate Glivenko-Cantelli Theorems. (This is joint work with Christoph Schumacher and Fabian Schwarzenberger.)

 

Title: Unique continuation estimates and lifting of eigenvalues.
Institution:

Euler Institute, Saint-Petersburg, Russia

Occasion:

9th Birman Conference in Spectral Theory

Date:

03. Juli -06. Juli 2017

Abstract:

Using Carleman estimates we prove scale free unique continuation estimates on boundedand unbounded domains and apply them to the spectral theory of Schroedinger operators. Inparticluar, we present eigenvalue lifting estimates and lifting estimates for spectral band edgesof periodic and similar Schroedinger operators. This is joint work with I. Nakic, M. Taeufer, and M. Tautenhahn.

 

Title: Dichotomy for the expansion of the deterministic spectrum of random Schroedinger operators
Institution:

Bergische Universität Wuppertal

Occasion:

Hagen-Wuppertal Analysis-Treffen

Date:

2. Mai 2017

 

Title: Unique continuation estimates and the Logvinenko Sereda Theorem.
Institution:

Fernuni Hagen

Occasion:

Oberseminars Stochastik/Mathematische Physik

Date:

15.02.2017

Abstract:

Unique continuation estimates for solutions of partial differential equations are a topic of classical interest. More recently they have turned out to have important applications for Schroedinger operators modelling condensed matter. We will present a scale-free unique continuation estimate which is tailored for such applications. Holomorphic functions exhibit unique continuation properties as well, even more precise ones. This motivates the question, to what extent UCP for solutions of PDEs can be raised to the same level as UCP for holomorphic functions. We give some partial results in this direction.

 

2016

Title:

Unique continuation principle and its absence on continuum and discrete geometries

Institution:

Technische Universität Wien

Occasion:

Workshop on Operator Theory and Indefinite Inner Product Spaces

Date:

12. December 2016

Abstract:

A powerful tool in the analysis of solutions of partial di erential equations are unique continuation principles. Quantitative versions play an important role in inverse problems, uniqueness theorems for linear and non-linear di erential equations, and in the theory of random Schroedinger operators. On the contrary quantum graphs violate the continuation principle, giving rise to new phenom- ena. Certain graph Laplacians exhibit similar features.

 

Title:

Uncertainty relations and applications to the Schrödinger
and heat conduction equations

Institution:

Johannes Gutenberg Universität Mainz

Occasion:

Summer school Mainz

Date:

13.September 2016

Abstract:

In four lectures we discuss unique continuation principles for various classes of functions, their relation to uncertainty principles, and their application in the analysis of certain elliptic and parabolic partial differential equations. We are in particular interested in domains and coefficient functions which have a multiscale structure as it istypical for periodic and random Schrödinger operators.The first two lectures are held by Ivan Veselic, the third by Martin Tautenhahn, and the last by Michela Egidi.

 

Title:

A dummies view on compressive sensing

Institution:

University of Split School of Medicine, Split, Croatia

Occasion:

Summer school Split

Date:

27.August - 03.September 2016

Abstract:  

 

Title:

Unique continuation principle and its absence on continuum space, on
lattices and on quantum graphs

Institution:

WIAS Berlin

Occasion:

NewMET 2016

Date:

14.Juli - 15.Juli 2016

Abstract: A powerful tool in the analysis of solutions of partial differential equations are unique continuation principles. Quantitative versions play an important role in inverse problems, uniqueness theorems for linear and non-linear differential equations, and in the theory of random Schroedinger operators.
On the contrary quantum graphs violate the continuation principle, giving rise to new phenomena. Certain graph Laplacians exhibit similar features.

 

Title:

Multiscale equidistribution estimates for Schr ̈odinger eigenfunctions

Institution:

Department of Mathematics, Faculty of Science, University of Zagreb, Croatia

Occasion:

International Workshop on PDEs: analysis and modelling Celebrating 80th anniversary of professor Nedžad Limić

Date:

19.Juni - 22.Juni 2016

Abstract: We present two results on scale-free quantitative unique continuation of eigenfunctions of the Schr̈odinger operator and linear combinations thereof.  The first result is dueto Rojas-Molina & Veseli ́c, the generalization to linear combinations of
eigenfunctions to Naki ́c, Taeufer, Tautenhahn, & Veseli ́c.  We will sketch the proof for the case of pure eigenfunctions.  It relies on Carleman estimates, three annuli inequalities and geometric covering arguments

 

Title:

Quantitative uncertainty principles in harmonic analysis and mathematical physics

Institution:  
Occasion:

6th Croatian Mathematical Congress

Date: 16.Juni.2016
Abstract: In harmonic analysis the uncertainty principle asserts that it is impossibe that a function as well as its Fourier transform are simultaneously compactly supported. In quantum mechanics the uncertainty principle asserts that it is impossible to measure two conjugate observables with arbitraty precision simultaneously. We present recent quantitative versions of uncertainty principles as well as their relations and applications in the theory of partial differential equations and random Schroedinger operators.

 

Title:

(Miss)Verständnis der Stochastik

Institution: Fern-Universität Hagen
Occasion: Seminar Stochastik
Date: 4. Januar 2016
   
   

2015

Title:

Weihnachtsvorlesung "(Miss)Verständnis der Stochastik"

Institution: Technische Universität Chemnitz
Occasion:

Weihnachtsvorlesung am Tag der Lehre

Date: 3. Dezember 2015, 15:30 bis 17:00, Zentrales Hörsaalgebäude, Raum N112.
Abstract: Weihnachtsvorlesung zu Themen der Stochastik für ein breites Publikum
Link: tu-chemnitz.de/mathematik/stochastik/teaching/Weihnachtsvorlesung2015/weihnachtsvorl15.pdf

 

Title: Hadamard's three line theorem and Carleman estimates (Hadamardov teorem of tri pravca i Carlemanove ocjene)
Institution: Zagreb University , Mathematics department
Occasion: Colloquium of the Croatian Mathematical Society
Date: 30. September 2015, 17:00
Abstract: We start with the maximum modulus principle for holomorphic functions and deduce Hadamard's three line theorem and Hadamard's three circle theorem. Then we pursue the question, which of these properties are shared by solutions of elliptic partial differential equations. Without proof we state a Carleman estimate and an interpolation inequality which follows. Applications thereof are discussed, time permitting, at the end of the talk.
Link: http://degiorgi.math.hr/kolokvij/view.php?id=121
 
Title: Uniform ergodic theorems and the Glivenko-Cantelli theorem (Uniformni ergodički teoremi i Glivenko Cantellijev teorem)
Institution: Zagreb University , Mathematics department
Occasion: Probabilty seminar
Date: 29. September 2015, 14:30
Link: http://web.math.pmf.unizg.hr/zzvs/?Seminars
 
Title: Approximation and estimation of functions based on local data (Aproksimacija i ocjena funkcija na osnovu lokalnih podataka)
Institution: Rijeka University, Department of Natural Sciences and Mathematics
Occasion: Colloquium of the society of mathematicians and physicists
Date: 28. September 2015, 12:00
Abstract: In many areas of mathematics and its application in other sciences one is confronted with the task of estimating or reconstructing a function based on partial local data. Of course, this will not work for all functions well. Thus one needs an restriction to an adequate class of functions. This can be mathematically modeled in many ways. Spacial statistics or complex function theory are relevant areas of mathematics which come to ones mind. We present several results on reconstruction and estimation of functions which are solutions of elliptic partial differential equations on some subset of Euclidean space. We comment also on analogous statements for functions with localized Fourier transform.
Link: http://dmf.hr/2015/06/19/aproksimacija-i-ocjena-funkcija-na-osnovu-lokalnih-podataka/
 
Title: Uncertainty relations and applications (Relacije neodređenosti i primjene)
Institution: University of Split
Occasion: Seminar of the Split mathematical society
Date: 18. September 2015, 12:00
Link: http://www.stmath.hr/?p=654
 
Title: Compressed sensing and the Calderon problem in electrical impedance tomography
Institution: University of Split
Occasion: Speech and Hearing Research Lab, School of Medicine
Date: 17. September 2015, 11:00
Link: http://kovaciclab.org/seminar-prof-dr-sc-ivan-veselic-compressed-sensing-calderon-problem-on-electrical-impedance-tomography/
 
Title: Glivenko-Cantelli theory for almost additive functions and Banach space-valued ergodic theorems on lattices
Institution: Friedrich-Alexander-Universität Erlangen-Nürnberg
Occasion: Tag der Stochastik
Date: 10. July 2015, 14:00
Abstract: We discuss uniform convergence of distribution functions in two different settings and the relation between the two. First we consider almost additive functions on lattice patterns with well defined frequencies. It is possible to embedd this context in the framework of ergodic theorems with Banach space-valued functions. If the ergodic system is generated by iid random variables it is natural to look at the same problem as an extension of the classical Glivenko-Cantelli Theorem.
 
Title: Uncertainty relations and Wegner estimates for random breather potentials
Institution: Isaac Newton Institue, Cambridge
Occasion: Workshop: Periodic and Other Ergodic Problems; 23 March - 27 March 2015
Date: 23. March 2015, 11:30 - 12:30
Co-authors: Ivica Nakic (Zagreb University), Matthias Täufer (TU Chemnitz), Martin Tautenhahn (TU Chemnitz)
Abstract: We present a new scale-free, quantitative unique continuation estimate for Schroedinger operators in multidimensional space. Depending on the context such estimates are sometimes called uncertainty relations, observations inequalities or spectral inequalities. To illustrate its power we prove a Wegner estimate for Schroedinger operators with random breather potentials. Here we encounter a non-linear dependence on the random coupling constants, preventing the use of standard perturbation theory. The proofs rely on an analysis of the level sets of the random potential, and can be extended to a rather general framework.
 
Title: Uncertainty principles and spectral analysis of Schroedinger operators
Institution: Isaac Newton Institue, Cambridge
Occasion: Seminar Programme on Periodic and Ergodic Spectral Problems
Date: 12. March 2015
 
Title: Reconstruction and estimation of rigid functions based on local data
Institution: Durham University
Occasion: Geometry and Topology Seminar
Date: 9. March 2015
Abstract: In many areas of mathematics and its application in other sciences one is confronted with the task of estimating or recosntruction a function based on partial data. Of course, this will not work for all functions well. Thus one needs an restriction to an adequate class of functions. This can be mathematically modeled in many ways. Spacial statistics or complex function theory are relevant areas of mathematics which come to ones mind. We present several results on reconstrucion and estimation of functions which are solutions of elliptic partial differential equations on some subset of Euclidean space. We comment also on analogous statements for solutions of finite difference equations on graphs.
 
Title: Quantitative Unique continuation estimates and Wegner bounds for random Schroedinger operators
Institution: Department of Mathematics, Bristol University
Occasion: Mathematical Physics Seminar
Date: 27. February 2015
 
Title: Compressed Sensing and Sparse Recovery II
Institution: TU Chemnitz
Occasion: Forschungsseminar Analysis
Date: 14. January 2015, 15:30
 

2014

Title: Compressed Sensing and Sparse Recovery I
Institution: TU Chemnitz
Occasion: Forschungsseminar Analysis, Stochastik und Mathematische Physik
Date: 16. December 2014, 17:00
 
Title: Mini-Course: Harmonic Analysis and Random Schrödinger Operators
Institution: Facultad de Matemáticas, Pontificia Universidad Católica de Chile
Date: 13. - 21. November 2014
 
Title: Quantitative unique continuation estimate and Wegner estimate for the standard random breather potential
Institution: Pontificia Universidad Catolica de Chile
Occasion: Einladung zum Plenarvortrag bei der International Conference Spectral Theory and Mathematical Physics
Date: November 2014
Abstract: We present a new scale-free, quantitative unique continuation estimate for Schroedinger operators in multidimensional space. Depending on the context such estimates are sometimes called uncertainty relations, observations inequalities or spectral inequalities. To illustrate its power we prove a Wegner estimate for Schroedinger operators with random breather potentials. Here we encounter a non-linear dependence on the random coupling constants, preventing the use of standard perturbation theory. The proofs rely on an analysis of the level sets of the random potential, and can be extended to a rather general framework.
 
Title: Unique countinuation principles, uncertainty relations and observability estimates for elliptic equations with multiscale structure
Institution: Ecole des Ponts Paristech
Date: 28. October 2014
Abstract: We consider Schroedinger operators and related elliptic partial differential equations. Domains are large cubes in Euclidean space. We are aiming for estimates which are independent of the size of the cube, since we want to pass to the thermodynamic limit. We derive scale-free quantitative unique continuation principles for eigenfunctions, and for linear combinations thereof. They can be formulated, respectively interpreted, as uncertainty relations, observability estimates, or spectral inequalities. We indicate the applicability of these estimates in various areas of analysis of PDE.
 
Title: Scale-free uncertainty principles and Wegner estimates for random breather potentials
Institution: Universität Paris 6
Occasion: Seminar
Date: 27. Oktober 2014, 14:30
 
Title: Uncertainty principles applied to observation and reconstruction of functions
Institution: Universität Jena
Occasion: Einladung zum Plenarvortrag beim meeting Mathematical Physics in Jena
Date: 17. September 2014
Abstract: In several areas of mathematics appears the task of reconstructing, or at least estimating, a function on the basis of partial data. Often the partial data contain in formation about the Fourier transform as well as about the function itself. In this case the reconstruction or observation can be facilitated by various forms of the uncertainty principle. We discuss several classical as well as recent instances of such re sults. Thereafter we focus on the case of solutions of partial differential equations, where the uncertainty relation takes the form of a unique continuation estimate. Finally, we formulare two recently obtaied results, and discuss their application to con trol theory, perturbation of eigenvalues, and random Schrödinger operators.
 
Title: Uncertainty principles applied to observation and reconstruction of functions
Institution: TU Chemnitz
Occasion: Chemnitz-Zagreb Workshop on Harmonic Analysis for PDE, Applications, and related topics
Date: 1. July 2014, 10:00
 
Title: Uncertainty and unique continuation principles for the observation of eigenfunctions
Institution: Universität Jena
Occasion: Oberseminar Analysis, Geometrie und Stochastik
Date: 18. June 2014, 17:00
 
Title: Grenzverteilungssäatze für stochastische Modelle komplexer physikalischer Systeme
Institution: Universität Jena
Occasion: Stochastisches Kolloquium
Date: June 2014
 
Title: Grenzverteilungssätze für Modelle ungeordneter Systeme
Institution: Universität zu Köln
Occasion: Workshop Stochastik
Date: January 2014
 
Title: Eigenwert-Statistiken und -Verteilungsfunktionen
Institution: Fern-Universität Hagen
Occasion: Oberseminar Stochastik
Date: January 2014
 
Title: Eigenwert-Statistiken und -Verteilungsfunktionen
Institution: Universität Wuppertal
Occasion: Oberseminar Stochastik
Date: 22. January 2014, 15:00
Abstract: Der Vortrag diskutiert Gesetze der Grossen Zahlen fuer Zufallsvariablen mit Werten in einem Funktionenraum. Dies wird genutzt um die spektrale Vertelungsfunktion (Integrierte Zusantdsdichte) als uniformen Limes von normierten Eigenwertzaehlfunktionen zu definieren. Wir gehen auf asymptotische Eigenschaften der spektralen Vertelungsfunktion ein. Daraufhin betrachten wir geeigent reskalierte Eigenwerte und zeigen, dass in gewissen Regimen die entsprechnden Punktprozesse gegen einen Poissonprozess konvergieren.
 
Title: Unique continuation and equidistribution properties for eigenfunctions of elliptic operators
Institution: Universität Bonn
Occasion: Seminar Stochastic and Geometric Analysis
Date: January 2014, 10:00
 

2013

Title: Multiscale unique continuation properties of eigenfunctions
Institution: Universität Zagreb
Occasion: Numerical Analysis Seminar
Date: October 2013
 
Title: Equidistribution properties of eigenfunctions and solutions of PDE
Institution: Humboldt University of Berlin
Occasion: QMath12
Date: 12. September 2013, 10:30
 
Title: Integralabschätzungen für Eigenfunktionen auf multiplen Skalen
Institution: TU Chemnitz
Occasion: Forschungsseminar Harmonische Analysis
Date: July 2013
 
Title: Equidistribution properties of eigenfunctions and solutions
Occasion: Symposium Operator Semi-groups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics
Date: 3. June 2013, 14:30
 
Title: Alloy potentials on the lattice: (absence of ) monotonicity, regularity, and spectral averages
Institution: FernUniversität in Hagen
Occasion: Conference Mathematical Physics of Disordered Systems - A Conference in Honor of Leonid Pastur
Date: 17. May 2013, 10:05
 

2012

Title: Equidistribution properties of PDE-eigenfunctions
Institution: Institute of Mathematics of Bordeaux, University Bordeaux 1
Occasion: Conference Spectral Theory and Its Applications
Date: 4. October 2012, 09:00
Abstract: In a joint paper with C. Rojas-Molina we have proven that eigenfunctions of the time-independent Schrödinger-equation on large cubes (with Dirichlet or periodic b.c.) exhibit a type of quantitative equidistribution property, which is uniformly good over arbitrary lenght scales. We present this result and discuss applications, extensions and open problems.
 
Title: Equidistribution properties of eigenfunctions of PDEs
Institution: Johannes Gutenberg-Universität Mainz
Occasion: Trilateral German-French-Russian Workshop on Asymptotic analysis and spectral theory on non-compact structures
Date: September 2012
 
Title: Diskussion über das Zusammenspiel von Bewegung und Zufall anhand von Beispielen
Institution: TU Chemnitz, Professur Stochastik
Occasion: Tag der offenen Tür, Studieninfos & Specials
Date: 9. June 2012, 14:00
 
Title: Gleichverteilungseigenschaften von Lösungen von PDEs
Institution: TU Bergakademie Freiberg, Institut für Numerische Mathematik und Optimierung
Occasion: Seminar
Date: 8. June 2012, 11:00
 
Title: Stochastische und Geometrische Aspekte in der Spektraltheorie zufälliger Operatoren
Institution: TU Chemnitz
Occasion: Joint workshop of the departments of Mathematics and Informatics
Date: June 2012
 
Title: Glivenko-Cantelli-Theorems, concentration inequalities, and the IDS
Institution: Institut de Mathématiques de Jussieu, Université Paris 13
Occasion: Conference: Mathématiques des systémes quantiques désordonnés
Date: 29. May 2012, 10:50
Abstract: The Glivenko-Cantelli Theorem states that the distribution functions of empirical measures generated by real-valued iid samples converge uniformly to the distribution function of the original measure. There exist various extensions of the Theorem to the mutivariate case and to Banach-space random variables, as well as criteria when the convergence holds in a stronger topology. We discuss the relation of the above results to concentration inequalities and applications in the spectral theory of random operators.
 
Title: Anwendungen des Satzes von Glivenko-Cantelli
Institution: Universität Jena, Lehrstuhl für Analysis
Occasion: Oberseminar Analysis, Geometrie und Stochastik
Date: 11. May 2012, 11:15
 
Title: Eigenschaften von Lösungen von partiellen Differentialgleichungen
Institution: Teschnische Universität Ilmenau, Institut für Mathematik
Occasion: Mathematisches Kolloquium
Date: 10. May 2012, 17:00
 
Title: Scale-uniform quantitative unique continuation principle
Institution: FAU Erlangen-Nürnberg, Department Mathematik
Occasion: Seminar Mathematische Physik
Date: 22. March 2012; 10:30
 
Title: Scale-uniform quantitative unique continuation principle
Institution: TU Graz, Institut für numerische Mathematik
Occasion: Seminar Angewandte Analysis und Numerische Mathematik
Date: 19. March 2012; 11:00
 
Title: Uncertainty relation: applications and methods
Institution: Universität Zagreb, Institut für Mathematik
Occasion: Seminar Numerische Mathematik und Wissenschaftliches Rechnen
Date: 15. March 2012
 
Title: Spectral averaging in the mathematical theory of Anderson localization
Institution: Universität Zagreb, Institut für Physik
Occasion: Seminar des Instituts für Physik
Date: 14. March 2012
 
Title: Scale-uniform quantitative unique continuation principle
Institution: Universität Zagreb, Institut für Mathematik
Occasion: Colloquium
Date: 13. March 2012
 
Title: Skaleninvariantes quantitatives Eindeutiges-Fortsetzungsprinzip und Anwendungen
Institution: Seminar Analysis, TU Dresden
Abstract: PDF-file
Occasion: Analysis Seminar
Date: 19. January 2012
 

2011

Title: Scale-free quantitative unique continuation principle
Institution: Max-Planck-Institut füur Mathematik in den Naturwissenschaften, Leipzig
Abstract: PDF-file
Occasion: Analysis Seminar
Date: 15. December 2011
 
Title: Low lying spectrum of randomly perturbed periodic waveguides
Institution: Doppler Institute in Department of Theoretical Physics of the Nuclear Physics Institute, Rez
Occasion: Seminar
Date: 18. November 2011
 
Title: Unique continuation principle and Wegner estimates
Institution: Mathematisches Forschungsinstitut Oberwolfach
Abstract: PDF-file
Occasion: Workshop "Correlations and Interactions for Random Quantum Systems"
Date: 24. October 2011
 
Title: Unique continuation properties of solutions of elliptic second order differential equations (1) and (2)
Institution: TU Chemnitz
Occasion: Seminar "Partielle Differentialgleichungen und Inverse Probleme"
Date: 21. October 2011 and 11.November 2011
Abstract: Bei vielen Typen von (partiellen) Differentialgleichungen ist bekannt, dass einen nichttriviale Lösung nicht auf einer offenen Menge verschwinden kann. Diese Eigenschaft wird im Englischen "unique continuation property" genannt. Oftmals wird sie aus einer Carleman-Ungleichung hergeleitet. Ein wichtiger Anwendungsberich ist die Eindeutigkeit der Lösung von nichtlinearen Differentialgleichungen. In manchen Situationen ist es von Interesse, eine quantitative Version der "unique continuation property" herzuleiten. Wir diskutieren dies.
 
Title: Dynamics and spectra of the Schrödinger equation
Institution: Mathematical Society in Split
Occasion: Colloquium
Date: 21. September 2011
 
Title: Eigenvalue flows for operator-pencils
Institution: Sveučilište u Splitu, Fakultet elektrotehnike, strojarstva i brodogradnje
Occasion: Mathematics seminar
Date: 20. September 2011
 
Title: Eigenvalue flows for linear pencils of operators
Institution: Hotel Colentum
Occasion: Workshop on quantitative spectral theory and mathematical physics
Date: 16. September 2011
 
Title: Localisation, Lifschitz tails and Wegner estimates for random Schrödinger operators
Institution: Institut de Mathématiques de Bordeaux
Occasion: Seminar Equipe Analyse
Date: 8. September 2011
 
Title: Zufällige Schrödingeroperatoren mit nicht-monotoner Parameter-Abhängigkeit
Institution: Johannes Gutenberg-Universität Mainz
Date: 28. Januar 2011
 

2010

Title: Geometrische und Spektrale Eigenschaften von Perkolationsclustern auf Cayleygraphen
Institution: Karlsruher Institut für Technologie
Date: 16. November 2010
 
Title: Spectral properties of random Schroedinger operators with general interactions
Institution: Pontificia Universidad Catolica de Chile
Occasion: Seminar on Partial Differential Equations and Spectral Theory
Date: 30. September 2010
 
Title: Spectral properties and averaging for discrete alloy type potentials
Institution: Pontificia Universidad Catolica de Chile
Occasion: Plenary talk at the International Conference "Spectral Days"
Date: 21. September 2010
 
Title: Fractional moment method for non-monotone models
Institution: University of Hradec Kralove
Occasion: QMath11 Mathematical Results in Quantum Physics, Hradec Kralove
Date: 6. September 2010
 
Title: Discrete alloy type models: averaging and spectral properties
Institution: Isaac Newton Institute for Mathematical Sciences, Cambridge, UK
Occasion: Invited talk at the workshop "Analysis on Graphs and its Applications Follow-up meeting"
Date: 29. July 2010
 
Title: Spectral distribution function of percolation operators
Venue: Department Mathematik, Universität Erlangen-Nürnberg
Occasion: AG Mathematische Physik
Date: 17. June 2010
 

2009

Title: Discrete alloy type models with single site potentials of changing sign
Venue: Clarion Congress Hotel Prague
Occasion: International Congress on Mathematical Physics
  Invited talk in the section on Nonrelativistic Quantum Mechanics
Date: 4. August 2009
 
Title: Geometrische und Spektrale Eigenschaften von Perkolationsclustern auf Cayleygraphen
Institution: Universität Mainz
Occasion: job application talk
Date: 16. July 2009
 
Title: Exponentieller Abfall der Greenschen Funktion fü Legierungsmodelle auf Z
Institution: Universität Oldenburg
Date: 10. July 2009
 
Title: Percolation clusters on Calyey graphs and their spectra
Occasion: "Alp-Workshop", St.~Kathrein am Offenegg bei Graz
Date: 5. July 2009
 
Title: Spektrale Eigenschaften von diskreten Legierungsmodellen
Institution: Ruhr-Universität Bochum
Occasion: Oberseminar über Mathematische Physik
Date: 1. July 2009
 
Title: Exponential decay of Green's function for Anderson models on Z with single-site potentials of finite support
Institution: Universität Mainz
Occasion: Oberseminar Analysis
Date: 30. June 2009
 
Title: Geometric and spectral properties of percolation on Cayley graphs
Institution: Universität Paderborn
Occasion: job application talk
Date: 3. April 2009
 
Title: Bounds on the spectral shift function and applications
Institution: Durham University
Occasion: Pure Mathematics Colloquium
Date: 16. March 2009
 
Title: Percolation clusters on Calyey graphs and their spectra
Institution: Imperial College
Occasion: London Analysis and Probability Seminar
Date: 12. March 2009
 
Title: Bounds on the spectral shift function and applications
Institution: University College London
Occasion: Mathematics Seminar
Date: 11. March 2009
 
Title: Geometric and spectral properties of percolation on Cayley graphs
Institution: University of Bristol
Occasion: Analysis Seminar
Date: 9. March 2009
 

2008

Title: Geometrische und spektrale Eigenschaften von Perkolationgraphen
Institution: Institut für Mathematik, TU Berlin
Occasion: job application talk
Date: 17. December 2008
 
Title: Perkolationscluster auf Cayleygraphen und deren Spektren
Institution: Faculty of Mathematics, TU Cemnitz
Occasion: job application talk
Date: 12. December 2008
 
Title: Percolation and spectra on Cayley-graphs
Occasion: Oberwolfach-Workshop "Interplay of Analysis and Probability in Physics"
Date: 2. December 2008
 
Title: Geometrische und spektrale Eigenschaften von Perkolationgraphen
Institution: TU Chemnitz
Occasion: Forschungsseminar Alogrithmische und Diskrete Mathematik
Date: 26. November 2008
 
Title: Bounds on singular values of semigroup differences and the spectral shift function
Institution: TU Clausthal
Occasion: Mathematisches Kolloquium
Date: 19. November 2008
 
Title: Geometrische und spektrale Aspekte von Perkolation auf allgemeinen Graphen
Institution: Fakultät für Mathematik und Informatik, Universität Bremen
Occasion: job application talk
Date: 18. November 2008
 
Title: Perkolation auf homogenen Graphen
Institution: Fakultät für Mathematik und Informatik, Fern-Universität Hagen
Occasion: job application talk
Date: 24. October 2008
 
Title: Geometrische und spektrale Eigenschaften von Perkolationteilgraphen
Institution: TU Dortmund
Occasion: Oberseminar Geometrie
Date: 23. October 2008
 
Title: Perkolation auf homogenen Graphen
Institution: School of Mathematics and Computer Science, Friedrich-Schiller-Universität of Jena
Occasion: job application talk
Date: 7. October 2008
 
Title: Classical and Quantum percolation
Institution: Institut für Mathematik C, Technische Universität Graz
Date: 28. July 2008
 
Title: Singular values of semigroup differences and applications to the spectral shift function
Institution: TU Berlin
Date: 24. July 2008
 
Title: Geometrische und spektrale Eigenschaften von Perkolation auf Cayleygraphen
Institution: Universität Tübingen
Occasion: job application talk
Date: 15. July 2008
 
Title: Percolation on Cayley and quasi-transitive graphs
Institution: Universität Bielefeld
Occasion: Workshop des SFB 701 "Aspects of Aperiodic Order"
Date: 4. July 2008
 
Title: Geometrische und spektrale Eigenschaften von Perkolation auf Cayleygraphen
Institution: Ruhr-Universität Bochum
Occasion: job application talk
Date: 1. July 2008
 
Title: Estimates on singular values and the spectral shift function, with applications
Institution: Universität Bielefeld
Occasion: job application talk
Date: 26. June 2008
 
Title: Spectral and geometric properties of percolation on general graphs
Occasion: ESF-Conference "Operator Theory, Analysis and Mathematical Physics", Bedlewo, Polen
Date: 16. June 2008
 
Title: Spectral and geometric properties of percolation on general graphs
Institution: Institut für Mathematik, TU Clausthal
Occasion: Mathematisches Kolloquium
Date: 28. May 2008
 
Title: Spectral and geometric properties of percolation on general graphs
Institution: Institut for Theoretical Physics, Universität Hamburg
Occasion: Seminarreihe "Quantum Field Theory and Mathematical Physics"
Date: 27. May 2008
 
Title: Integrated density of states for Schr\"odinger operators on metric graphs
Institution: Humboldt-Universiy Berlin
Occasion: Workshop "Mathematical Physics and Spectral Theory"
Date: 25. April 2008
 
Title: Wegner estimates for non-monotoneously correlated alloy type models
Occasion: Oberwolfach-Workshop, Disordered Systems: Random Schrödinger Operators and Random Matrices
Date: 25. March 2008
 
Title: On spectral properties of correlated and non-monotone Anderson models
Occasion: German Open Conference on Probability and Statistics, Aachener Stochastiktage
Date: 6. March 2008
 
Title: Spectral and geometric properties of percolation on general graphs
Institution: Universität Bielefeld
Occasion: Seminar des SFB 701
Date: 23. January 2008
 

2007

Title: Low energy asymptotics of percolation Laplacians on Cayley graphs
Institution: Hausdorff-Institut, Bonn
Occasion: Workshop "Particle systems, nonlinear diffusions, and equilibration"
Date: 15. November 2007
 
Title: Perkolationsprozesse und Laplaceoperatoren auf Cayleygraphen
Institution: Philipps-Universität Marburg
Occasion: Kolloquium des Fachbereichs Mathematik und Informatik
Date: 15. August 2007
 
Title: Low energy asymptotics of percolation Hamiltonians on graphs
Institution: TU Wien
Occasion: Conference "Equadiff 07"
Date: 6. August 2007
 
Title: Spectral asymptotics of percolation Laplacians on amenable Cayley graphs
Institution: Isaac Newton Institute
Occasion: Workshop on "Quantum Graphs, Their Spectra and Applications"
Date: 3. April 2007
 
Title: Lifshitz tails for random Hamiltonians monotone in the randomness
Occasion: Oberwolfach Mini-Workshop "Multiscale and variational methods in materials science and the quantum theory of solids"
Date: 12. February 2007
 

2006

Title: Untere Schranken an Eigenwertabstände
Occasion: Chemnitzer Mathematisches Colloquium
Date: 7. December 2006
 
Title: Lifshitz tails for the IDS of Schrödinger operators with random breather-type potential
Occasion: International Conference "Operator Theory in Quantum Physics", Prag
Date: 28. September 2006
 
Title: Lifshitz tails for Schrödinger operators with random breather-type potential
Occasion: Conference "Operator Theory, Analysis and Mathematical Physics", Lund
Date: 16. June 2006
 
Title: Existenz- und Stetigkeitseigenschaften der Integrierten Zustandsdichte
Occasion: Chemnitzer Mathematisches Colloquium
Date: 18. May 2006
 
Title: Anderson-percolation Hamiltonians and compactly supported eigenstates
Occasion: Interdisciplinary Workshop "Evolution on Networks", Blaubeuren
Date: 1. May 2006
 
Title: Untere Schranken an die unterste spektrale L¨cke von Hamiltonoperatoren mit singulärem Potential
Institution: RWTH Aachen
Occasion: Seminar des Graduiertenkollegs "Hierarchie und Symmetrie in mathematischen Modellen"
Date: 24. April 2006
 
Title: Anderson-percolation Hamiltonians and compactly supported eigenstates
Institution: TU Graz
Occasion: Strukturtheorie-Seminar
Date: 20. April 2006
 
Title: Spectral analysis of percolation Hamiltonians
Occasion: Oberwolfach Mini-Workshop "L2-Spectral Invariants and the Integrated Density of States"
Date: 24. February 2006
 
Title: Tiefliegendes Spektrum von zufälligen Schrödingeroperatoren
Institution: TU Chemnitz
Occasion: Forschungsseminar Algorithmische und Diskrete Mathematik
Date: 25. January 2006
 
Title: Spectral properties of Anderson-percolation Hamiltonians on graphs
Institution: Erwin Schrödinger Institut, Wien
Occasion: Workshop "Aspects of Spectral Theory"
Date: 19. January 2006
 
Title: Compactly supported eigenfunctions of Hamiltonians on infinite graphs and jumps of the IDS
Institution: Universität Bielefeld
Occasion: Seminar des SFB 701
Date: 4. January 2006
 

2005

Title: Untere Schranken an die unterste spektrale Lücke von Hamiltonoperatoren mit singulärem Potential
Institution: University Osijek, Croatia
Date: 19. December 2005
 
Title: Lower bounds on the lowest spectral gap of singular potential Hamiltonians
Institution: Universität Bonn
Occasion: Symposium "Dirichlet Forms, Stochastic Analysis and Interacting Systems"
Date: 24. November 2005
 
Title: Lower bounds on the lowest spectral gap of singular potential Hamiltonians
Institution: Université de Cergy-Pontoise, France
Date: 28. September 2005
 
Title: Spectral Analysis of Percolation Hamiltonians
Occasion: Workshop "Computation and Analytic Problems in Spectral Theory", Gregynog, Wales
Date: 28. July 2005
 
Title: Bounds on the spectral shift function and the density of states
Institution: Max-Plank-Institut, Leipzig, Germany
Date: 24. May 2005
 
Title: Localization for alloy-type models: rigorosus results and methods
Institution: Department of Physics, Chemnitz
Date: 13. April 2005
 
Title: Spectral analysis of percolation Hamiltonians
Institution: Université Paris, France
Date: 8. March 2005
 
Title: Quantenmechanik ungeordneter Festkörper: das Phänomen der Lokalisierung
Occasion: Kolloquium der Kroatischen Mathematischen Gesellschaft, Zagreb
Date: 23. February 2005
 
Title: Spectral properties of periodic and random Schrödinger operators
Institution: University of Bath, UK
Date: 14. February 2005
 
Title: Spectral properties of the quantum percolation model on graphs
Institution: University of Durham, UK
Date: 9. February 2005
 

2004

Title: Bounds on the spectral shift function and the density of states
Istitution: TU Dresden
Date: November 2004
 
Title: Spektren von Quantenperkolationsmodellen
Istitution: Universität Augsburg
Date: 22. November 2004
 
Title: Spectral averaging induced by random, geometric perturbations
Institution: Doppler Institute, Prag
Date: November 2004
 
Title: Spectral Analysis of Percolation Hamiltonians
Occasion: QMath-9: Mathematical Results in Quantum Mechanics, Giens
Date: September 2004
 
Title: Bounds on the spectral shift function and the density of states
Occasion: Mathematics and Physics of Disordered Systems, Oberwolfach
Date: May 2004
 
Title: Spektrale Verschiebung induziert durch ein kompakt getragenes Potential
Institution: Symposium über Analysis, Universitäat Basel
Date: April 2004
 
Title: Integrated density of states for random metrics on manifolds
Institution: City University of New York
Date: February 2004
 

2003

Title: Spectral properties of the quantum percolation model on graphs
Institution: Ruhr-Universität Bochum
Date: December 2003
 
Title: Spectral shift induced by a compactly supported potential
Institution: Universität Mainz
Date: December 2003
 
Title: Spectral shift induced by a compactly supported potential
Institution: Universität Stuttgart
Date: November 2003
 
Title: Spectral shift induced by a compactly supported potential
Institution: Universität Konstanz
Date: November 2003
 
Title: Spectral shift induced by a compactly supported potential
Institution: University of Alabama at Birmingham
Date: October 2003
 
Title: Spectral shift induced by a compactly supported potential
Occasion: CalTech
Date: October 2003
 
Title: Spectral shift induced by a compactly supported potential
Institution: TU Chemnitz
Date: July 2003
 
Title: Spectral shift induced by a compactly supported potential
Institution: Ruhr-Universität Bochum
Date: July 2003
 
Title: Spectral shift induced by a compactly supported potential
Institution: University Zagreb
Date: July 2003
 
Title: Spectral properties of quantum percolation models
Occasion: Conference Applied Mathematics and Scientific Computing, Brijuni, Kroatien
Date: 25. June 2003
 
Title: Spectral properties of the quantum percolation model on graphs
Occasion: CalTech
Date: March 2003
 
Title: Wegner estimates for indefinite potentials and inverses of Toeplitz matrices
Occasion: Western States Mathematical Physics Meeting, CalTech
Date: February 2003
 

2002

Title: On Wegner estimates with singular and indefinite randomness
Institution: UC Irvine
Date: 12. December 2002
 
Title: Integrated density of states for random metrics on manifolds
Occasion: CalTech
Date: November 2002
 
Title: Integrated density of states for random metrics on manifolds
Institution: Ruhr-Universität Bochum
Date: October 2002
 
Title: Existence of the density of states for single site potentials with samll support in one dimension
Occasion: Workshop Between Order and Disorder, Greifswald
Date: September 2002
 
Title: Wegner estimate with local continuity requirements on the coupling constants
Occasion: Conference on Differential Equations and Mathematical Physics, Birmingham, USA
Date: 26. March 2002
 
Title: Lokalisierung an Floquet-regulären Bandkanten
Institution: Institut für Theoretische Physik I, Universität Erlangen-Nürnberg
Date: January 2002
 
Title: Gruppoide von Neumann Algebren und die Integrierte Zustandsdichte
Institution: Institut für Theoretische Physik I, Universität Erlangen-Nürnberg
Date: January 2002
 
Title: Existenz der Zustandsdichte für indefinite Legierungspotentiale
Institution: Fakultät für Mathematik, TU Chemnitz
Date: January 2002
 

2001

Title: Lipschitz continuity of integrated density of states for single site potentials with small support
Occasion: Mathematical results in Quantum Mechanics, Taxco, Mexico
Date: December 2001
 
Title: Integrated density of states for random operators on manifolds
Occasion: Workshop Schrödinger Operators, IIMAS, UNA Mexico
Date: 7. December 2001
 
Title: Wegner estimate for sparse and other generalized alloy type potentials
Occasion: Workshop Schrödinger Operators, IIMAS, UNA Mexico
Date: 5. December 2001
 
Title: The integrated Density of states and Wegner estimates
Occasion: Workshop Schrödinger Operators, IIMAS, UNA Mexico
Date: 3. December 2001
 
Title: Existence of the density of states for Anderson models with indefinite single site potentials
Occasion: Workshop SFB 237, Tutzing
Date: October 2001
 
Title: Integrated Density of states for random Schrödinger Operators on manifolds
Occasion: Mini-Conference Random Schrödinger Operators, Tsukuba, Japan
Date: August 2001
 
Title: Wegner Estimate for Indefinite Anderson Potentials
Institution: Research Institute for Mathematical Sciences, Kyoto
Occasion: Workshop Applications of Renormalization Group Methods in Mathematical Sciences
Date: July 2001
 
Title: Wegner estimates for alloy type potentials with changing sign
Institution: University of Osaka
Date: July 2001
 
Title: Localization by disorder at Floquet-regular spectral boundaries
Institution: University of Osaka
Date: July 2001
 
Title: Regularity porperties of the integrated density of states of random Schrödinger operators
Occasion: Conference Applied Mathematics and Scientific Computing, Dubrovnik, Croatia
Date: June 2001
 
Title: Die Wegner-Abschätzung und die gemeinsame Dichte der Anderson-Kopplungskonstanten
Occasion: Conference Schrödinger Operators, Oberwolfach
Date: June 2001
 
Title: Spektrale Eigenschaften von periodischen un zufälligen Schrödingeroperatoren
Institution: University Zagreb, Croatia
Date: May 2001
 
Title: Wegner estimates for alloy type potentials with changing sign
Occasion: Schrödinger operators, Oberwolfach
Date: May 2001
 
Title: Spektrale Eigenschaften von zufälligen Schrödingeroperatoren
Institution: Fern-Universität Hagen
Date: March 2001
 

2000

Title: Wegner Abschätzung für indefinite, überlappende Anderson Potentiale mit glatter Dichte
Occasion: AG Mathematische Physik, Bochum
Date: 5. October 2000
Abstract: PDF
 
Title: Wegner Abschätzung für indefinite, überlappende Einzelpotentiale mit glatter Dichte
Occasion: Workshop "Ungeordnete Systeme", Bochum
Date: May 2000
 
Title: Integrated density of states for Schrödinger operators on manifolds
Occasion: Conference on Differential Geometry and Quantum Physics, Berlin
Date: May 2000
 
Title: Integrated density of states for Schrödinger operators on manifolds
Occasion: Institut für Angewandte Mathematik, Universität Bonn
Date: January 2000
 

1999

Title: Wegner Abschätzung für indefinite Anderson-Potentiale
Occasion: Workshop SFB 237, Bad Honnef
Date: September 1999
 
Title: Wegner estimates for alloy type potentials with changing sign
Institution: University of Lulea, Sweden
Date: September 1999
 
Title: Wegner estimate for the Anderson model with indefinite potential
Institution: NTNU Trondheim, Norway
Date: August 1999
 
Title: Wegner estimate for the Anderson model with indefinite potential
Occasion: Conference on Differential Equations and Mathematical Physics, Birmingham, USA
Date: May 1999
 

1998

Title: Random potentials causing localisation
Occasion: Workshop SFB 237, Bad Honnef
Date: September 1998

Kontakt

TU Dortmund
Fakultät für Mathematik
Lehrstuhl IX
Vogelpothsweg 87
44227 Dortmund


Sie finden uns auf dem sechsten Stock des Mathetowers .


Sekretariat: Janine Textor
Raum M 620


E-mail:
janine.textor@tu-dortmund.de


Tel. (0231) 755-3063
Fax (0231) 755-5219



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