TU Dortmund
Fakultät für Mathematik

Prof. Dr. Ivan Veselić - Publications

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Showing search results 1–101 of 101.
2021
  • Uncertainty relations and applications in spectral and control theory. Ivan Veselić (2021). Oberwolfach Reports. [DOI] [arXiv]
  • Wegner estimate and localisation for alloy type operators with minimal support assumptions on the single site potential. Matthias Täufer, Ivan Veselić (2021). [arXiv]
  • Lifshitz asymptotics and localization for random breather models. Christoph Schumacher, Ivan Veselić (2021). [arXiv]
  • Quantum Hamiltonians with Weak Random Abstract Perturbation. II. Localization in the Expanded Spectrum. Denis Borisov, Matthias Täufer, Ivan Veselić (2021). . [DOI] [arXiv]
2020
  • Unique continuation and lifting of spectral band edges of Schrödinger operators on unbounded domains. Ivica Nakić, Matthias Täufer, Martin Tautenhahn, Ivan Veselić (2020). With an Appendix by Albrecht Seelmann. . [DOI] [arXiv]
  • Null-controllability and control cost estimates for the heat equation on unbounded and large bounded domains. Michela Egidi, Ivica Nakić, Albrecht Seelmann, Matthias Täufer, Martin Tautenhahn, Ivan Veselić (2020). In: Control Theory of Infinite-Dimensional Systems, pp. 117–157. Birkhäuser, Cham. [DOI] [arXiv]
  • Exhaustion approximation for the control problem of the heat or Schrödinger semigroup on unbounded domains. Albrecht Seelmann, Ivan Veselić (2020). . [DOI] [arXiv]
  • Unique continuation for the gradient of eigenfunctions and Wegner estimates for random divergence-type operators. Alexander Dicke, Ivan Veselić (2020). [arXiv]
  • Uniform Existence of the IDS on Lattices and Groups. Christoph Schumacher, Fabian Schwarzenberger, Ivan Veselić (2020). In: Analysis and Geometry on Graphs and Manifolds, pp. 445–478. Cambridge University Press. [DOI] [arXiv]
  • Sharp estimates and homogenization of the control cost of the heat equation on large domains. Ivica Nakić, Matthias Täufer, Martin Tautenhahn, Ivan Veselić (2020). . [DOI] [arXiv]
  • Scale-free unique continuation estimates and Logvinenko-Sereda Theorems on the torus. Michela Egidi, Ivan Veselić (2020). . [DOI] [arXiv]
2019
  • Sampling and equidistribution theorems for elliptic second order operators, lifting of eigenvalues, and applications. Martin Tautenhahn, Ivan Veselić (2019). . [DOI]
2018
  • Glivenko-Cantelli theory, Ornstein-Weiss quasi-tilings, and uniform ergodic theorems for distribution-valued fields over amenable groups. Christoph Schumacher, Fabian Schwarzenberger, Ivan Veselić (2018). . [DOI] [arXiv]
  • Sharp geometric condition for null-controllability of the heat equation on $\Bbb R^d$ and consistent estimates on the control cost. Michela Egidi, Ivan Veselić (2018). . [DOI] [arXiv]
  • Spectral localization for quantum Hamiltonians with weak random delta interaction. Denis Borisov, Matthias Täufer, Ivan Veselić (2018). . [DOI]
  • Scale-free unique continuation principle for spectral projectors, eigenvalue-lifting and Wegner estimates for random Schrödinger operators. Ivica Nakić, Matthias Täufer, Martin Tautenhahn, Ivan Veselić (2018). . [DOI] [arXiv]
  • Expansion of the spectrum in the weak disorder regime for random operators in continuum space. Denis Borisov, Francisco Hoecker-Escuti, Ivan Veselić (2018). . [DOI] [arXiv]
2017
  • Scale-free quantitative unique continuation and equidistribution estimates for solutions of elliptic differential equations. Denis Borisov, Martin Tautenhahn, Ivan Veselić (2017). . [DOI] [arXiv]
  • Lifshitz tails for Schrödinger operators with random breather potential. Christoph Schumacher, Ivan Veselić (2017). . [DOI] [arXiv]
  • A Glivenko-Cantelli theorem for almost additive functions on lattices. Christoph Schumacher, Fabian Schwarzenberger, Ivan Veselić (2017). . [DOI] [arXiv]
  • Unique continuation principles and their absence for Schrödinger eigenfunctions on combinatorial and quantum graphs and in continuum space. Norbert Peyerimhoff, Matthias Täufer, Ivan Veselić (2017). . [DOI] [arXiv]
2016
  • Ocean rogue waves and their phase space dynamics in the limit of a linear interference model. Simon Birkholz, Carsten Brée, Ivan Veselić, Ayhan Demircan, Günter Steinmeyer (2016). . [DOI]
  • Quantum Hamiltonians with weak random abstract perturbation. I. Initial length scale estimate. Denis Borisov, Anastasia Golovina, Ivan Veselić (2016). . [DOI] [arXiv]
  • Harmonic analysis and random Schrödinger operators. Matthias Täufer, Martin Tautenhahn, Ivan Veselić (2016). In: Spectral theory and mathematical physics, pp. 223–255. Birkhäuser, Cham. [DOI] [arXiv]
  • Sampling inequality for $L^2$-norms of eigenfunctions, spectral projectors, and Weyl sequences of Schrödinger operators. Martin Tautenhahn, Ivan Veselić (2016). . [DOI] [arXiv]
  • Wegner estimate for Landau-breather Hamiltonians. Matthias Täufer, Ivan Veselić (2016). . [DOI] [arXiv]
  • A unified approach to convergence rates for $\ell^1$-regularization and lacking sparsity. Jens Flemming, Bernd Hofmann, Ivan Veselić (2016). . [DOI] [arXiv]
  • Expansion of the almost sure spectrum in the weak disorder regime. Denis Borisov, Francisco Hoecker-Escuti, Ivan Veselić (2016). . [DOI] [arXiv]
2015
  • Discrete alloy-type models: regularity of distributions and recent results. Martin Tautenhahn, Ivan Veselić (2015). . [arXiv]
  • Multiscale unique continuation properties of eigenfunctions. Denis Borisov, Ivica Nakić, Christian Rose, Martin Tautenhahn, Ivan Veselić (2015). In: Operator semigroups meet complex analysis, harmonic analysis and mathematical physics, pp. 107–118. Birkhäuser, Cham. [DOI] [arXiv]
  • Conditional Wegner estimate for the standard random breather potential. Matthias Täufer, Ivan Veselić (2015). . [DOI] [arXiv]
  • Scale-free uncertainty principles and Wegner estimates for random breather potentials. Ivica Nakić, Matthias Täufer, Martin Tautenhahn, Ivan Veselić (2015). . [DOI] [arXiv]
  • On $\ell^1$-regularization in light of Nashed's ill-posedness concept. Jens Flemming, Bernd Hofmann, Ivan Veselić (2015). . [DOI] [arXiv]
  • Wegner estimate and localization for alloy-type models with sign-changing exponentially decaying single-site potentials. Karsten Leonhardt, Norbert Peyerimhoff, Martin Tautenhahn, Ivan Veselić (2015). . [DOI] [arXiv]
  • Spectral gap estimates for some block matrices. Ivan Veselić, Krešimir Veselić (2015). . [DOI] [arXiv]
  • Random walks across the sea: the origin of rogue waves?. Simon Birkholz, Carsten Brée, Ivan Veselić, Ayhan Demircan, Günter Steinmeyer (2015). [arXiv]
2014
  • Equidistribution estimates for eigenfunctions and eigenvalue bounds for random operators. Denis Borisov, Martin Tautenhahn, Ivan Veselić (2014). In: Mathematical results in quantum mechanics, pp. 89–99. World Scientific Publishing, Hackensack, NJ. [DOI] [arXiv]
  • Lifshitz asymptotics for percolation Hamiltonians. Reza Samavat, Peter Stollmann, Ivan Veselić (2014). . [DOI] [arXiv]
  • Unbounded quantum graphs with unbounded boundary conditions. Daniel Lenz, Carsten Schubert, Ivan Veselić (2014). . [DOI] [arXiv]
  • Minami's estimate: beyond rank one perturbation and monotonicity. Martin Tautenhahn, Ivan Veselić (2014). . [DOI] [arXiv]
2013
  • Uniform existence of the integrated density of states for randomly weighted Hamiltonians on long-range percolation graphs. Slim Ayadi, Fabian Schwarzenberger, Ivan Veselić (2013). . [DOI] [arXiv]
  • Low lying eigenvalues of randomly curved quantum waveguides. Denis Borisov, Ivan Veselić (2013). . [DOI] [arXiv]
  • Scale-free unique continuation estimates and applications to random Schrödinger operators. Constanza Rojas-Molina, Ivan Veselić (2013). . [DOI] [arXiv]
2012
  • Spectral gaps for self-adjoint second order operators. Denis Borisov, Ivan Veselić (2012). . [DOI] [arXiv]
  • Discrete Schrödinger operators with random alloy-type potential. Alexander Elgart, Helge Krüger, Martin Tautenhahn, Ivan Veselić (2012). In: Spectral analysis of quantum Hamiltonians, pp. 107–131. Birkhäuser, Basel. [DOI] [arXiv]
  • Erratum to: A Banach space-valued ergodic theorem and the uniform approximation of the integrated density of states. Daniel Lenz, Fabian Schwarzenberger, Ivan Veselić (2012). . [DOI] [arXiv]
2011
  • Anderson localization for a class of models with a sign-indefinite single-site potential via fractional moment method. Alexander Elgart, Martin Tautenhahn, Ivan Veselić (2011). . [DOI] [arXiv]
  • Generalized eigenfunctions and spectral theory for strongly local Dirichlet forms. Daniel Lenz, Peter Stollmann, Ivan Veselić (2011). In: Spectral theory and analysis, pp. 83–106. Springer, Basel. [DOI] [arXiv]
  • Lipschitz-continuity of the integrated density of states for Gaussian random potentials. Ivan Veselić (2011). . [DOI] [arXiv]
  • $L^p$-approximation of the integrated density of states for Schrödinger operators with finite local complexity. Michael J. Gruber, Daniel Lenz, Ivan Veselić (2011). . [DOI] [arXiv]
  • A Banach space-valued ergodic theorem and the uniform approximation of the integrated density of states. Daniel Lenz, Fabian Schwarzenberger, Ivan Veselić (2011). . [DOI] [arXiv]
  • Low lying spectrum of weak-disorder quantum waveguides. Denis Borisov, Ivan Veselić (2011). . [DOI] [arXiv]
  • Quantitative unique continuation principle and Wegner estimates (on joint work with C. Rojas-Molina). Ivan Veselić (2011). . [DOI]
2010
  • Wegner estimates for sign-changing single site potentials. Ivan Veselić (2010). . [DOI] [arXiv]
  • Localization via fractional moments for models on $\Bbb Z$ with single-site potentials of finite support. Alexander Elgart, Martin Tautenhahn, Ivan Veselić (2010). . [DOI] [arXiv]
  • Wegner estimate for discrete alloy-type models. Ivan Veselić (2010). . [DOI] [arXiv]
  • Spectral properties of discrete alloy-type models. Martin Tautenhahn, Ivan Veselić (2010). In: XVIth International Congress on Mathematical Physics, pp. 551–555. World Scientific Publishing, Hackensack, NJ. [DOI] [arXiv]
  • Lifshitz tails for a class of Schrödinger operators with random breather-type potential. Werner Kirsch, Ivan Veselić (2010). . [DOI] [arXiv]
2009
  • Spectral asymptotics of percolation Hamiltonians on amenable Cayley graphs. Tonći Antunović, Ivan Veselić (2009). In: Methods of spectral analysis in mathematical physics, pp. 1–29. Birkhäuser, Basel. [DOI] [arXiv]
  • Equality of Lifshitz and van Hove exponents on amenable Cayley graphs. Tonći Antunović, Ivan Veselić (2009). . [DOI] [arXiv]
  • Hamiltonians on discrete structures: jumps of the integrated density of states and uniform convergence. Daniel Lenz, Ivan Veselić (2009). . [DOI] [arXiv]
  • Continuity of the integrated density of states on random length metric graphs. Daniel Lenz, Norbert Peyerimhoff, Olaf Post, Ivan Veselić (2009). . [DOI] [arXiv]
  • The Allegretto-Piepenbrink theorem for strongly local Dirichlet forms. Daniel Lenz, Peter Stollmann, Ivan Veselić (2009). . [arXiv]
  • Wegner-type bound for discrete alloy-type models. Ivan Veselić (2009). . [DOI]
  • Mini-Workshop: Modeling and Understanding Random Hamiltonians: Beyond Monotonicity, Linearity and Independence. Günter Stolz, Ivan Veselić (2009). . [DOI]
2008
  • Optimal Wegner estimates for random Schrödinger operators on metric graphs. Michael J. Gruber, Mario Helm, Ivan Veselić (2008). In: Analysis on graphs and its applications, pp. 409–422. American Mathematical Society, Providence, RI. [DOI] [arXiv]
  • Uniform existence of the integrated density of states for combinatorial and metric graphs over $\Bbb Z^d$. Michael J. Gruber, Daniel Lenz, Ivan Veselić (2008). In: Analysis on graphs and its applications, pp. 87–108. American Mathematical Society, Providence, RI. [DOI] [arXiv]
  • Uniform existence of the integrated density of states for models on $\Bbb Z^d$. Daniel Lenz, Peter Müller, Ivan Veselić (2008). . [DOI] [arXiv]
  • The modulus of continuity of Wegner estimates for random Schrödinger operators on metric graphs. Michael J. Gruber, Ivan Veselić (2008). . [DOI] [arXiv]
  • Continuity properties of the integrated density of states on manifolds. Daniel Lenz, Norbert Peyerimhoff, Olaf Post, Ivan Veselić (2008). . [DOI] [arXiv]
  • Sharpness of the phase transition and exponential decay of the subcritical cluster size for percolation and quasi-transitive graphs. Tonći Antunović, Ivan Veselić (2008). . [DOI] [arXiv]
  • Existence and regularity properties of the integrated density of states of random Schrödinger Operators. Ivan Veselić (2008). Revised version of the habilitation thesis. Springer, Berlin and Heidelberg. [DOI]
  • Wegner estimates for non-monotoneously correlated alloy type models. Ivan Veselić (2008). . [DOI]
2007
  • Uniform existence of the integrated density of states for random Schrödinger operators on metric graphs over $\Bbb Z^d$. Michael J. Gruber, Daniel H. Lenz, Ivan Veselić (2007). . [DOI] [arXiv]
  • Linear Wegner estimate for alloy-type Schrödinger operators on metric graphs. Mario Helm, Ivan Veselić (2007). . [DOI] [arXiv]
  • Groupoids, von Neumann algebras and the integrated density of states. Daniel Lenz, Norbert Peyerimhoff, Ivan Veselić (2007). . [DOI] [arXiv]
  • Lower bounds on the lowest spectral gap of singular potential Hamiltonians. Sylwia Kondej, Ivan Veselić (2007). . [DOI] [arXiv]
  • Spectral gap of segments of periodic waveguides. Sylwia Kondej, Ivan Veselić (2007). . [DOI] [arXiv]
  • Lifshitz asymptotics for Hamiltonians monotone in the randomness. Ivan Veselić (2007). . [DOI] [arXiv]
  • Mini-Workshop: Multiscale and Variational Methods in Material Science and Quantum Theory of Solids. Isabelle Catto, Isaac Chenchiah, Ivan Veselić, Johannes Zimmer (2007). . [DOI]
2006
  • Existence and regularity properties of the integrated density of states of random Schrödinger Operators. Ivan Veselić (2006). Habilitation thesis, Technische Universität Chemnitz. [URL]
  • On the Lipschitz continuity of the integrated density of states for sign-indefinite potentials. Vadim Kostrykin, Ivan Veselić (2006). . [DOI] [arXiv]
  • Bounds on the spectral shift function and the density of states. Dirk Hundertmark, Rowan Killip, Shu Nakamura, Peter Stollmann, Ivan Veselić (2006). . [DOI] [arXiv]
  • Spectral properties of Anderson-percolation Hamiltonians. Ivan Veselić (2006). . [DOI] [arXiv]
  • Mini-Workshop: $L^2$-Spectral Invariants and the Integrated Density of States. Josef Dodziuk, Daniel Lenz, Thomas Schick, Ivan Veselić (2006). . [DOI]
2005
  • Spectral analysis of percolation Hamiltonians. Ivan Veselić (2005). . [DOI] [arXiv]
  • Quantum site percolation on amenable graphs. Ivan Veselić (2005). In: Proceedings of the Conference on Applied Mathematics and Scientific Computing, pp. 317–328. Springer, Dordrecht. [DOI] [arXiv]
2004
  • Integrated density of states and Wegner estimates for random Schrödinger operators. Ivan Veselić (2004). In: Spectral theory of Schrödinger operators, pp. 97–183. American Mathematical Society, Providence, RI. [DOI] [arXiv]
  • Integrated density of states for random metrics on manifolds. Daniel Lenz, Norbert Peyerimhoff, Ivan Veselić (2004). . [DOI] [arXiv]
  • Bound on the spectral shift function and the (integrated) density of states. Dirk Hundertmark, Rowan Killip, Shu Nakamura, Ivan Veselić (2004). . [DOI]
2003
  • Random Schrödinger operators on manifolds. Daniel Lenz, Norbert Peyerimhoff, Ivan Veselić (2003). . [arXiv]
  • Existence of the density of states for some alloy type models with single site potentials that change sign. Ivan Veselić (2003). In: Applied mathematics and scientific computing, pp. 301–311. Springer, Boston, MA. [DOI] [arXiv]
2002
  • Wegner estimate for indefinite Anderson potentials: some recent results and applications. Vadim Kostrykin, Ivan Veselić (2002). . [arXiv]
  • Existence of the density of states for one-dimensional alloy-type potentials with small support. Werner Kirsch, Ivan Veselić (2002). In: Mathematical results in quantum mechanics, pp. 171–176. American Mathematical Society, Providence, RI. [DOI] [arXiv]
  • Integrated density of states for ergodic random Schrödinger operators on manifolds. Norbert Peyerimhoff, Ivan Veselić (2002). . [DOI] [arXiv]
  • Localization for random perturbations of periodic Schrödinger operators with regular Floquet eigenvalues. Ivan Veselić (2002). . [DOI] [arXiv]
  • Wegner estimate and the density of states of some indefinite alloy-type Schrödinger operators. Ivan Veselić (2002). . [DOI] [arXiv]
  • Wegner estimate for sparse and other generalized alloy type potentials. Werner Kirsch, Ivan Veselić (2002). . [DOI]
2001
  • Indefinite Probleme bei der Anderson-Lokalisierung. Ivan Veselić (2001). PhD thesis, Ruhr-Universität Bochum. [URL]
2000
  • Integrated density of states for random Schrödinger operators on manifolds. Norbert Peyerimhoff, Ivan Veselić (2000). MaPhySto research report. [URL]
1996
  • Lokalisierung bei zufällig gestörten periodischen Schrödingeroperatoren in Dimension Eins. Ivan Veselić (1996). Diploma thesis, Ruhr-Universität Bochum. [URL]

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