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Prof. Dr. Ivan Veselić - Publications


Ivan Veselić - CV - Publications - Talks


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ORCID orcid.org/0000-0002-5643-8074
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Publications orderd by year

2018

Title: Glivenko--Cantelli theory, Ornstein--Weiss quasi-tilings, and uniform ergodic theorems for distribution-valued fields over amenable groups
Authors: Christoph Schumacher, Fabian Schwarzenberger, Ivan Veselic
Journal: Annals of Applied Probability 2018, Vol. 28, No. 4, 2417-2450
Preprint:
DOI: http://dx.doi.org/10.1214/17-AAP1361

 

Title: Unique continuation and lifting of spectral band edges of Schroedinger operators on unbounded domains (With an Appendix by Albrecht Seelmann)
Authors: Ivica Nakic, Matthias Taeufer, Martin Tautenhahn,Ivan Veselic, Albrecht Seelmann
Journal: accepted for publication in Journal of Spectral Theory
Preprint:
DOI:

 

Title: Scale-free unique continuation principle for spectral projectors, eigenvalue lifting and Wegner estimates for random Schroedinger operators
Authors: I. Nakic, M. Taeufer, M. Tautenhahn and I. Veselic
Journal: accepted at Anal. PDE,Vol. 11 (2018), No. 4, 1049-1081
Preprint: https://arxiv.org/abs/1609.01953
DOI: 10.2140/apde.2018.11.1049

 

Title: Unique continuation and lifting of spectral band edges of Schroedinger operators on unbounded domains (With an Appendix by Albrecht Seelmann)
Authors: I. Nakic, M. Taeufer, M.Tautenhahn and I. Veselic
Journal:
Preprint:
DOI:

 

Title: Glivenko-Cantelli Theory, Ornstein-Weiss quasi-tilings, and uniform Ergodic Theorems for distribution-valued fields over amenable groups
Authors: C. Schumacher, F. Schwarzenberger, I. Veselic
Journal: Annals of Applied Probability (2018), in press
Preprint: https://arxiv.org/abs/1711.07525 >a
DOI:

 

Title: Sharp geometric condition for null-controllability of the heat equation on R d and consistent estimates on the control cost
Authors: Michela Egidi, Ivan Veselic
Journal: Archiv der Mathematik, in press (2018)
Preprint: https://arxiv.org/abs/1711.06088 (16-Nov-2017)
DOI: 10.1007/s00013-018-1185-x

 

2017

Title: Spectral localization for quantum Hamiltonians with weak random delta interaction
Authors: D. Borisov, Matthias Täufer and Ivan Veselić
Journal: Comptes Rendus Mathematique, in press
Preprint:
DOI: 10.1016/j.crma.2018.04.023

 

Title: A Glivenko-Cantelli theorem for almost additive functions on lattices
Authors: Christoph Schumacher , Fabian Schwarzenberger and Ivan Veselić
Journal: Stochastic Processes and their Applications,Volume 127, Issue 1, January 2017, Pages 179-208
Preprint:
DOI:

 

Title: Unique continuation principles and their absence for Schroedinger eigenfunctions on combinatorial and quantum graphs and in continuum space
Authors: Norbert Peyerimhoff , Matthias Täufer , and Ivan Veselić
Journal: Nanosystems: Physics, Chemistry, Mathematics 08 (2017), no. 2, 216-230
Preprint: http://arXiv.org/abs/1702.05299
DOI: 10.17586/2220-8054-2017-8-2-216-230

 

Title: Lifshitz tails for Schroedinger operators with random breather potential
Authors: Christoph Schumacher, and Ivan Veselić
Journal: C. R. Math. Acad. Sci. Paris , 355 (12) : 1307--1310 2017
Preprint: https://arxiv.org/abs/1711.07318
DOI: 10.1016/j.crma.2017.11.007

 

2016

Title: Harmonic Analysis and Random Schroedinger Operators
Authors: Matthias Täufer, Martin Tautenhahn and Ivan Veselić
Journal: Operator Theory: Advances and Applications, 254, 223--255, 2016
Preprint: http://arxiv.org/abs/1601.03585
DOI: 10.1007/978-3-319-29992-1_11

 

Title: Expansion of the almost sure spectrum in the weak disorder regime
Authors: Denis Borisov, Francisco Hoecker-Escuti, and Ivan Veselić
Journal: Journal of Functional Analysis, 270 (5), 1684--1718, 2016
Preprint: http://arxiv.org/abs/1408.2113
DOI: 10.1016/j.jfa.2015.12.018

 

Title: Quantum Hamiltonians with weak random abstract perturbation. I: Initial length scale estimate
Authors: Denis Borisov, Anastasia Golovina, and Ivan Veselić
Preprint:

http://arxiv.org/abs/1501.06503

TU Chemnitz Preprint

Journal:

Annales Henri Poincaré   17 (9) 2341--2377.

DOI: 10.1007/s00023-016-0465-x
Abstract: We study random Hamiltonians on finite-size cubes and waveguide segments of increasing diameter. The number of random parameters determining the operator is proportional to the volume of the cube. In the asymptotic regime where the cube size, and consequently the number of parameters as well, tends to infinity, we derive deterministic and probabilistic variational bounds on the lowest eigenvalue, i.~e. the spectral minimum, as well as exponential off-diagonal decay of the Green function at energies above, but close to the overall spectral bottom.

2015

Title: Scale-free quantitative unique continuation and equidistribution estimates for solutions of elliptic differential equations
Authors: Denis Borisov, Martin Tautenhahn, and Ivan Veselić
Preprint: http://arxiv.org/abs/1512.06347

 

Title: Conditional Wegner estimate for the standard random breather potential
Authors: Matthias Täufer, and Ivan Veselić
Journal J. Stat. Phys, Volume 161, Issue 4, pp 902-914 (2015).
Preprint: http://arxiv.org/abs/1509.03507
Preprint: TU Chemnitz Preprint
DOI: 10.1007/s10955-015-1358-y

 

Title: Random walks across the sea: the origin of rogue waves?
Authors: Simon Birkholz, Carsten Brée, Ayhan Demircan, Günter Steinmeier, and Ivan Veselić
Preprint: http://arxiv.org/abs/1507.08102

 

Title: A unified approach to convergence rates for l^1-regularization and lacking sparsity
Authors: Jens Flemming, Bernd Hofmann, and Ivan Veselić
Preprint: http://arxiv.org/abs/1506.01582

 

Title: Sampling inequality for $L^2$-norms of eigenfunctions, spectral projectors, and Weyl sequences of Schrödinger operators
Authors: Martin Tautenhahn, and Ivan Veselić
Preprint: http://arxiv.org/abs/1504.00554

 

Title: Sampling inequality for $L^2$-norms of eigenfunctions of Schrödinger operators
Authors: Martin Tautenhahn, and Ivan Veselić
Preprint: TU Chemnitz Preprint
Abstract: We prove a sampling inequality for $L^2$-norms of eigenfunctions of Schröldinger operators on $d$-dimensional space with bounded potential. This is a special case of an observability estimate for an elliptic differential operator.

 

Title: On l^1-regularization in light of Nashed's ill-posedness concept
Authors: Jens Flemming, Bernd Hofmann, and Ivan Veselić
Journal: Comp. Methods Appl. Math, 15(3): 279--289, 2015
Preprint: http://arxiv.org/abs/1501.07415
DOI: 10.1515/cmam-2015-0008

 

Title: Multiscale unique continuation properties of eigenfunctions
Authors: Denis Borisov, Ivica Nakić, Christian Rose, Martin Tautenhahn , and Ivan Veselić
Journal: Operator Theory: Advances and Applications, Vol. 250, 107--118, 2015. Proofs.
Preprint: http://arxiv.org/abs/1410.1065
Preprint: TU Chemnitz Preprint
DOI: 10.1007/978-3-319-18494-4_7

 

Title: Scale-free uncertainty principles and Wegner estimates for random breather potentials
Authors: Ivica Nakić , Matthias Täufer, Martin Tautenhahn , and Ivan Veselić
Journal: Comptes Rendus Mathematique,353 (10):919–923, 2015
Preprint: http://arxiv.org/abs/1410.5273
Preprint: TU Chemnitz Preprint
DOI: 10.1016/j.crma.2015.08.005

 

Title: Spectral gap estimates for some block matrices
Authors: Kresimir Veselić, and Ivan Veselić
Journal: Operator and Matrices, 9(2): 241--275, 2015
Preprint: http://arxiv.org/abs/1404.4991
Preprint: TU Chemnitz Preprint
DOI: 10.1142/S0129055X15500075

 

Title: Discrete alloy-type models: Regularity of distributions and recent results
Authors: Martin Tautenhahn, and Ivan Veselić
Journal: Markov Process. Related Fields 21(3):823-846, 2015
Preprint: http://arxiv.org/abs/1403.7329
Preprint: TU Chemnitz Preprint

 

Title: Wegner estimate and localization for alloy-type models with sign-changing exponentially decaying single-site potentials
Authors: Karsten Leonhardt, Norbert Peyerimhoff, Martin Tautenhahn, and Ivan Veselić
Journal: Reviews in Mathematical Physics, 27(4), 2015
Preprint: http://arxiv.org/abs/1309.0109
Preprint: TU Chemnitz Preprint
DOI: 10.1142/S0129055X15500075

2014

Title: Equidistribution estimates for eigenfunctions and eigenvalue bounds for random operators
Authors: Denis Borisov, Martin Tautenhahn and Ivan Veselić
Journal: Mathematical Results in Quantum Mechanics, Proceeding of the QMath 12 Conference, 89--99, 2014
Preprint: http://arxiv-web3.library.cornell.edu/abs/1405.1659
DOI: doi: 10.1142/9789814618144_0005

 

Title: Lifshitz asymptotics for percolation Hamiltonians
Authors: Reza Samavat , Peter Stollmann, and Ivan Veselić
Journal: Bulletin of the London Mathematical Society, 46(6), 1113--1125, 2014
Preprint: http://arxiv.org/abs/1308.1842
DOI: 10.1112/blms/bdu065

 

Title: Minami's estimate: beyond rank one perturbation and monotonicity
Authors: Martin Tautenhahn, and Ivan Veselić
Journal: Ann. Henri Poincaré, 15, 737--754, 2014
Preprint: http://arxiv.org/abs/1210.3542
DOI: 10.1007/s00023-013-0263-7

 

Title: Unbounded quantum graphs with unbounded boundary conditions
Authors: Daniel Lenz, Carsten Schubert, and Ivan Veselić
Journal: Mathematische Nachrichten, 287(8-9):962--979, 2014
Preprint: http://arxiv.org/abs/1205.1944
Preprint: TU Chemnitz Preprint
DOI: 10.1002/mana.201200135

 

Title: Expansion of the almost sure spectrum in the weak disorder regime
Authors: Denis Borisov, Francisco Hoecker-Escuti, and Ivan Veselić
Preprint: http://arxiv.org/abs/1408.2113
Preprint: TU Chemnitz Preprint

2013

Title: Low lying eigenvalues of randomly curved quantum waveguides
Authors: Denis Borisov, and Ivan Veselić
Journal: Journal of Functional Analysis, 265(11):2877--2909, 2013
Preprint: http://arxiv.org/abs/1211.1314
Preprint: TU Chemnitz Preprint
DOI: 10.1016/j.jfa.2013.08.011

 

Title: Scale-free unique continuation estimates and applications to random Schrödinger operators
Authors: Constanza Rojas-Molina and Ivan Veselić
Journal: Comm. Math. Phys., 320(1): 245--274, 2013
Preprint: http://arxiv.org/abs/1210.5623
Preprint: TU Chemnitz Preprint
DOI: 10.1007/s00220-013-1683-4
File: UC-10-20arxiv.pdf

 

Title: Uniform existence of the IDS for randomly weighted Laplacians on long range percolation graphs
Authors: Slim Ayadi, Fabian Schwarzenberger, and Ivan Veselić
Journal: Mathematical Physics, Analysis and Geometry, 16(4):309--330, 2013
Preprint: http://arxiv.org/abs/1207.2445
Preprint: TU Chemnitz Preprint
DOI: 10.1007/s11040-013-9133-2

 

Title: A note on regularity for discrete alloy-type models II
Authors: Martin Tautenhahn, and Ivan Veselić
Preprint: TU Chemnitz Preprint

2012

Title: Discrete Schrödinger operators with random alloy-type potential
Authors: Alexander Elgart, Helge Krüger, Martin Tautenhahn, and Ivan Veselić
Booktitle: Spectral Analysis of Quantum Hamiltonians, Operator Theory: Advances and Applications 224, pp 107--131
Preprint: arXiv:1107.2800v1 [math-ph]
DOI: 10.1007/978-3-0348-0414-1_6

 

Title: Spectral Gaps for Self-Adjoint Second Order Operators
Authors: Denis Borisov, and Ivan Veselić
Journal: Zeitschrift für Analysis und ihre Anwendungen (ZAA), 31(4): 473--505, 2012
Preprint: http://arxiv.org/abs/1010.0314
Preprint: PDF-File
DOI: 10.4171/ZAA/1470
Abstract: We consider a second order self-adjoint operator in a domain which can be bounded or unbounded. The boundary is partitioned into two parts with Dirichlet boundary condition on one of them, and Neumann condition on the other. We assume that the potential part of this operator is non-negative. We add a localized perturbation assuming that it produces two negative isolated eigenvalues being the two lowest spectral values of the resulting perturbed operator. The main result is a lower bound on the gap between these two eigenvalues. It is given explicitly in terms of the geometric properties of the domain and the coefficients of the perturbed operator. We apply this estimate to several asymptotic regimes studying its dependence on various parameters. We discuss specific examples of operators to which the bounds can be applied.

2011

Title: A Banach space-valued ergodic theorem and the uniform approximation of the integrated density of states
Authors: Daniel Lenz, Fabian Schwarzenberger, and Ivan Veselić
Journal: Geometrie Dedicata, 150(1): 1--34, 2011
Preprint: http://arxiv.org/abs/1003.3620
DOI: http://dx.doi.org/10.1007/s10711-010-9491-x

 

Title: Anderson Localization for a Class of Models with a Sign-Indefinite Single-Site Potential via Fractional Moment Method
Earlier title: (Fractional moment method for discrete alloy-type models)
Authors: Alexander Elgart, Martin Tautenhahn, and Ivan Veselić
Journal: Annales Henri Poincare, 12(8): 1571--1599, 2011
Preprint: http://arxiv.org/abs/1011.5648
DOI: http://dx.doi.org/10.1007/s00023-011-0112-5

 

Title: Generalized eigenfunctions and spectral theory for strongly local Dirichlet forms
Authors: Daniel Lenz, Peter Stollmann, and Ivan Veselić
Journal: Spectral theory and analysis; Operator Theory: Advances and Applications, 2014:83--106, 2011
Proceedings: of the conference Operator Theory, Analysis and Mathematical Physics 2008 (OTAMP 2008) held in Bedlewo, June 15--22, 2008
Preprint: http://arxiv.org/abs/0909.1107
DOI: 10.1007/978-3-7643-9994-8_6

 

Title: Quantitative unique continuation principle and Wegner estimates
Authors: Constanza Rojas-Molina, and Ivan Veselić
Journal: Oberwolfach Rep., 8(4): 2885--2887, 2011
Abstract: PDF-file

 

Title: Wegner estimate for alloy-type models with sign-changing and exponentially decaying single-site potentials
Authors: Norbert Peyerimhoff, Martin Tautenhahn, and Ivan Veselić
Preprint: TU Chemnitz Preprint

 

Title: Lipschitz-continuity of the integrated density of states for Gaussian random potentials
Authors: Ivan Veselić
Journal: Letters in Mathematical Physics, 97(1): 25--27, 2011
Preprint: http://arxiv.org/abs/1012.0393
DOI: 10.1007/s11005-011-0465-1

 

Title: Lp-approximation of the integrated density of states for Schrödinger operators with finite local complexity
Authors: Michael Gruber, Daniel Lenz, and Ivan Veselić
Journal: Integral Equations and Operator Theory, 69(2):217--232, 2011
Preprint: http://arxiv.org/abs/1004.3471
DOI: 10.1007/s00020-010-1831-6

 

Title: Low lying spectrum of weak-disorder quantum waveguides
Authors: Denis Borisov, and Ivan Veselić
Journal: Journal of Statistical Physics, 142(1): 58--77, 2011
Preprint: http://arxiv.org/abs/1010.0315
DOI: 10.1007/s10955-010-0099-1

2010

Title: A note on regularity for discrete alloy-type models
Authors: Martin Tautenhahn, and Ivan Veselić
Preprint: TU Chemnitz Preprint

 

Title: Spectral gaps for self-adjoint second order operators
Authors: Denis Borisov, and Ivan Veselić
Preprint: http://arxiv.org/abs/1010.0314

 

Title: Lifshitz tails for a class of Schrödinger operators with random breather-type potential
Authors: Werner Kirsch, and Ivan Veselić
Journal: Letters in Mathematical Physics, 94(1): 27--39, 2010
Preprint: http://arxiv.org/abs/math-ph/0609014
DOI: 10.1007/s11005-010-0417-1

 

Title: Localization via fractional moments for models on Z with single-site potentials of finite support
Authors: Alexander Elgart, Martin Tautenhahn, and Ivan Veselić
Journal: J. Phys. A: Math. Theor. , 43(47), 2010
Preprint: http://arxiv.org/abs/0903.0492
DOI: 10.1088/1751-8113/43/47/474021

 

Title: Wegner Estimate for discrete alloy-type models
Author: Ivan Veselić
Journal: Annales Henri Poincare, 11(5):991--1005, 2010
Preprint: http://arxiv.org/abs/1006.4995
Preprint: http://www.math.utexas.edu/mp_arc/c/09/09-100.pdf
DOI: 10.1007/s00023-010-0052-5

 

Title: Wegner estimates for sign-changing single site potentials
Authors: Ivan Veselić
Journal: Mathematical Physics, Analysis and Geometry, 13(4): 299--313, 2010
Preprint: http://arxiv.org/abs/0806.0482
DOI: 10.1007/s11040-010-9081-z

 

Erratum: Erratum to: A Banach space-valued ergodic theorem and the uniform approximation of the integrated density of states
Authors: Daniel Lenz, Fabian Schwarzenberger, and Ivan Veselić
Journal: Geometrie Dedicata, 159(1): 411-413, 2012
Preprint (corrected version): http://arxiv.org/abs/1003.3620
DOI: 10.1007/s10711-011-9657-1

 

Title: Spectral properties of discrete alloy-type models
Authors: Martin Tautenhahn, and Ivan Veselić
Proceedings: of the XVI. International Congress on Mathematical Physics, World Scientific, 2010
TOC: Table of contents of the proceedings
Preprint: http://arxiv.org/abs/1004.2385
DOI: 10.1142/9789814304634_0049

2009

Title: The Allegretto-Piepenbrink Theorem for strongly local Dirichlet forms
Authors: Daniel Lenz, Peter Stollmann, and Ivan Veselić
Journal: Documenta Mathematica, 14:167--189, 2009
Preprint: http://arxiv.org/abs/0811.2135
DOI: http://www.mathematik.uni-bielefeld.de/documenta/vol-14/07.html

 

Title: Continuity of the integrated density of states on random length metric graphs
Authors: Daniel Lenz, Norbert Peyerimhoff, Olaf Post, and Ivan Veselić
Journal: Mathematical Physics, Analysis and Geometry, 12(3):219--154, Springer, 2009
Preprint: http://www.arxiv.org/abs/0811.4513
DOI: 10.1007/s11040-009-9059-x

 

Title: Equality of Lifshitz and van Hove exponents on amenable Cayley graphs
Authors: Tonći Antunović, and Ivan Veselić
Journal: Journal de Matematiques Pures et Appliquees, 92(4):342--362, 2009
Preprint: http://arxiv.org/abs/0706.2844
DOI: 10.1016/j.matpur.2009.05.014

 

Title: Hamiltonians on discrete structures: Jumps of the integrated density of states and uniform convergence
Authors: Daniel Lenz, and Ivan Veselić
Journal: Mathematische Zeitschrift , 263(4):813--835, 2009
Preprint: http://arxiv.org/abs/0709.2836
DOI: 10.1007/s00209-008-0441-3

 

Title: Modeling and Understanding Random Hamiltonians: Beyond Monotonicity, Linearity and Independence
Authors: Günter Stolz,and Ivan Veselić
Journal: Oberwolfach Reports, 6(4):2965--2992, 2009, Report No. 55/2009

 

Title: Spectral Asymptotics of Percolation Hamiltonians on Amenable Cayley Graphs
Authors: Tonći Antunović, and Ivan Veselić
Journal: Methods of Spectral Analysis in Mathematical Physics; Operator Theory: Advances and Applications, 186:1--29, 2009
Preprint: http://arxiv.org/abs/0707.4292
DOI: 10.1007/978-3-7643-8755-6_1

2008

Title: Uniform existence of the integrated density of states for combinatorial and metric graphs over Zd
Authors: Michael Gruber, Daniel Lenz, and Ivan Veselić
Proceedings: of ''Symposia in Pure Mathematics'' (edited by P. Exner, J. Keating, P.Kuchment T. Sunada and A. Teplyaev), 77:87-108,2008 in Analysis on Graphs and its Applications
Preprint: http://arxiv.org/abs/0712.1740
DOI: 10.1090/pspum/077/2459865

 

Title: Optimal Wegner estimates for random Schroedinger operators on metric graphs
Authors: Michael Gruber, Mario Helm, and Ivan Veselić
Proceedings: of ''Symposia in Pure Mathematics'' (edited by P. Exner, J. Keating, P.Kuchment T. Sunada and A. Teplyaev), 77:409-422,2008 in Analysis on Graphs and its Applications
Preprint: http://arxiv.org/abs/0711.1953
DOI: 10.1090/pspum/077/2459884

 

Title: The modulus of continuity of Wegner estimates for random Schrödinger operators on metric graphs
Authors: Michael Gruber, and Ivan Veselić
Journal: Random Operators and Stochastic Equations , 16(1):1--10, 2008
Preprint: http://arxiv.org/abs/0707.1486
DOI: 10.1515/ROSE.2008.001

 

Title: Sharpness of the phase transition and exponential decay of the subcritical cluster size for percolation on quasi-transitive graphs
Authors: Tonći Antunović, and Ivan Veselić
Journal: Journal of Statistical Physics , 130(5):983--1009, Springer, 2008
Preprint: http://arxiv.org/abs/0707.1089
DOI: 10.1007/s10955-007-9459-x

 

Title: Continuity properties of the integrated density of states on manifolds
Authors: Daniel Lenz, Norbert Peyerimhoff, Olaf Post, and Ivan Veselić
Journal: Japanese Journal of Mathematics , 3(1):121--161, Springer, 2008
Preprint: http://arxiv.org/abs/0705.1079
DOI: 10.1007/s11537-008-0729-4

 

Title: Existence and Regularity Properties of the Integrated Density of States of Random Schrödinger Operators
Authors: Ivan Veselić
Journal: Lecture Notes in Mathematics, 1917:1--156, 2008
DOI: 10.1007/978-3-540-72691-3

 

Title: Uniform existence of the integrated density of states for models on Zd
Authors: Daniel Lenz, Peter Müller, and Ivan Veselić
Journal: Positivity, 12(4):571--589, Springer, 2008
Preprint: http://arxiv.org/abs/math-ph/0607063
DOI: 10.1007/s11117-008-2238-3

 

Title: Wegner estimates for non-monotoneously correlated alloy type models
Authors: Ivan Veselić
Journal: Oberwolfach Reports , 5(2):826--828, 2008, Report No. 16/2008

2007

Title: Uniform existence of the integrated density of states for random Schrödinger operators on metric graphs over Zd
Authors: Michael Gruber, Daniel Lenz, and Ivan Veselić
Journal: Journal of Functional Analysis , 253(2):515--533, 2007
Preprint: http://arxiv.org/abs/math/0612743
DOI: 10.1016/j.jfa.2007.09.003

 

Title: Linear Wegner estimate for alloy type Schrödinger operators on metric graphs
Authors: Mario Helm, and Ivan Veselić
Journal: Journal of Mathematicl Physics, 48(9), 2007, abridged version
Preprint: http://arxiv.org/abs/math/0611609
DOI: 10.1063/1.2779763

 

Title: Groupoids, von Neumann Algebras, and the integrated density of states
Authors: Daniel Lenz, Norbert Peyerimhoff, and Ivan Veselić
Journal: Mathematical Physics, Analysis and Geometry, 10(1):1--41, Springer, 2007
Preprint: http://arxiv.org/abs/math-ph/0203026
DOI: 10.1007/s11040-007-9019-2

 

Title: Lower bounds on the lowest spectral gap of singular potential Hamiltonians
Authors: Sylwia Kondej, and Ivan Veselić
Journal: Annales Henri Poincar&eacut;, 8(1):511--552, Springer, 2007
Preprint: http://arxiv.org/abs/math-ph/0605080
DOI: 10.1007/s00023-006-0302-8

 

Title: Lifshitz asymptotics for Hamiltonians monotone in the randomness
Authors: Ivan Veselić
Journal: Oberwolfach Reports, 4(1):371--416, 2006, Report No. 6/2007
Preprint: http://arxiv.org/abs/0708.0487
DOI: 10.4171/OWR/2007/06

 

Title: Spectral Gap of Segments of Periodic Waveguides
Earlier title: The lowest spectral gap of segments of a periodic waveguide is proportional to the square of the inverse length
Authors: Sylwia Kondej, and Ivan Veselić
Journal: Letters in Mathematical Physics, 79(1):95--98,Springer,2007
Preprint: http://arxiv.org/abs/math-ph/0608005
DOI: 10.1007/s11005-006-0111-5

2006

Title: Spectral properties of Anderson-percolation Hamiltonians
Authors: Józef Dodziuk, Daniel Lenz, Norbert Peyerimhoff, Thomas Schick, and Ivan Veselić
Journal: Oberwolfach Reports, 3(1):511-552, 2006, Report No. 9/2006
Ocassion: Oberwolfach Mini-Workshop "L2- Invariants and the Integrated Density of States"
Preprint: http://arxiv.org/abs/math-ph/0608019

 

Title: On the Lipschitz continuity of the integrated density of states for sign-indefinite potentials
Authors: Vadim Kostrykin, and Ivan Veselić
Journal: Mathematische Zeitschrift, 252(2):367--392, Springer, 2006
Preprint: http://arxiv.org/abs/math-ph/0408013
DOI: 10.1007/s00209-005-0860-3

 

Title: Bounds on the spectral shift function and the density of state
Authors: Dirk Hundertmark, Rowan Killip, Shu Nakamura, Peter Stollmann, and Ivan Veselić
Journal: Communications in Mathematical Physics, 262(2):489--503, Springer, 2006
Preprint: http://arxiv.org/abs/math-ph/0412078
DOI: 10.1007/s00220-005-1460-0

 

2005

Title: Spectral Analysis of Percolation Hamiltonians
Authors: Ivan Veselić
Journal: Mathematische Annalen, 331(4):841--865, Springer, 2005
Preprint: http://arxiv.org/abs/math-ph/0405006
DOI: 10.1007/s00208-004-0610-6

 

Title: Quantum site percolation on amenable graphs
Authors: Ivan Veselić
Journal: Applied Mathematics and Scientific Computing, Brijuni, 23rd-27th June 2003, Springer, 2005, Part II:317-328, ISBN: 1-4020-3196-3
Preprint: http://arxiv.org/abs/math-ph/0308041
DOI: 10.1007/1-4020-3197-1_24

2004

Title: Integrated density of states for random metrics on manifolds
Authors: Daniel Lenz, Norbert Peyerimhoff, and Ivan Veselić
Proceedings: of the''London Mathematical Society'', 88(03):733--752, 2004
Preprint: http://arxiv.org/abs/math-ph/0212058
DOI: 10.1112/S0024611503014576

 

Title: Integrated density of states and Wegner estimates for random Schrödinger Operators
Authors: Ivan Veselić
Journal: Contemporary Mathematics, 340, AMS, 2004
Preprint: http://arxiv.org/abs/math-ph/0307062 , and http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=03-473
DOI: 10.1090/conm/340/06116

2003

Title: Random Schrödinger operators on manifolds
Authors: Daniel Lenz, Norbert Peyerimhoff, and Ivan Veselić
Journal: Markov Processes and Related Fields, 9(4):717--728, 2003
Preprint: http://arxiv.org/abs/math-ph/0212057

 

Title: Existence of the density of states for some alloy type models with single site potentials that change sign
Authors: Ivan Veselić
Proceedings: of ''Applied Mathematics and Scientific Computing'', June 2001, Dubrovnik, Croatia, Kluwer, 2003, 301--311
Preprint: http://arxiv.org/abs/math-ph/0204031
DOI: 10.1007/978-1-4757-4532-0_18

2002

Title: Existence of the density of states for one-dimensional alloy-type potentials with small support
Authors: Werner Kirsch, and Ivan Veselić
Proceedings: of the''QMath-8: Mathematical Results in Quantum Mechanics'',in Taxco, Mexico, December 2001, AMS, Contemporaty Mathematics Vol. 307
Preprint: http://arxiv.org/abs/math-ph/0204030
DOI: 10.1090/conm/307/05280

 

Title: Integrated density of states for ergodic random Schrödinger operators on manifolds
Authors: Norbert Peyerimhoff, and Ivan Veselić
Journal: Geometriae Dedicata, 91(1):117--135, Springer, 2002
Preprint: http://arxiv.org/abs/math-ph/0210047
DOI: 10.1023/A:1016222913877

 

Title: Localization for random perturbations of periodic Schrödinger operators with regular Floquet eigenvalues
Authors: Ivan Veselić
Journal: Annales Henri Poincare, 3(2):389--409, Springer, 2002
Preprint: http://arxiv.org/abs/math-ph/0510063
DOI: 10.1007/s00023-002-8621-x

 

Title: Wegner Estimate and the Density of States of Some Indefinite Alloy-Type Schrödinger Operators
Authors: Ivan Veselić
Journal: Letters in Mathematical Physics, 59(3):119--214, Springer, 2002
Preprint: http://arxiv.org/abs/math-ph/0510062
DOI: 10.1023/A:1015580402816

 

Title: Wegner estimate for sparse and other generalized alloy type potentials
Authors: Werner Kirsch, and Ivan Veselić
Proceedings: of the Indian Academy of Sciences Mathematical Sciences, 112(2):131--146, 2002
DOI: 10.1007/bf02829646

2001

Title: Wegner Estimate for Indefinite Anderson Potentials: some recent results and applications
Authors: Vadim Kostrykin, and Ivan Veselić
Proceedings: of the workshop on ''Renormalization Group Methods in Mathematical Sciences'' 2001 (Kyoto), Lecture Notes of Res. Inst. of Math. Sciences, volume 1275:65--84
Preprint: http://arxiv.org/abs/math-ph/0510061

 

Theses

  1. Lokalisierung bei zufällig gestörten periodischen Schrödingeroperatoren in Dimension Eins, diploma thesis, 1996
  2. Indefinite Probleme bei der Anderson-Lokalisierung, PhD thesis, 2001
    University Bochum Library
    Archivserver deposit.ddb.de (Die Deutsche Bibliothek)
    • Existence and regularity properties of the integrated density of states of random Schrödinger Operators,
      habilitation thesis, 2006
    • Existence and regularity properties of the integrated density of states of random Schrödinger Operators
      Lecture Notes in Mathematics, Vol. 1917, Revised version of the habilitation thesis,
      Springer , XIII, 142 p., Softcover, ISBN: 978-3-540-72689-0, publication date 30. November 2007

Kontakt

TU Dortmund
Fakultät für Mathematik
Lehrstuhl IX
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44227 Dortmund


Sie finden uns auf dem sechsten Stock des Mathetowers .


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Raum M 620


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