Professur Stochastik
Publications orderd by year

Publications of the group of stochastics at the TU Chemnitz, orderd by year

2013

Title: A note on regularity for discrete alloy-type models II
Authors: Martin Tautenhahn, and Ivan Veselić
Preprint: http://www.tu-chemnitz.de/mathematik/preprint/2013/PREPRINT.php?year=2013&num=02

Title: Minami's estimate: beyond rank one perturbation and monotonicity
Authors: Martin Tautenhahn, and Ivan Veselić
Journal: accepted for publication in Ann. Henri Poincaré
Preprint: arXiv:1210.3542 [math.SP]

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
DOI: 10.1007/978-3-0348-0414-1_6
Preprint: arXiv:1107.2800v1 [math-ph]

Title: Erratum: The problem of deficiency indices for discrete Schrödinger operators on locally finite graphs
Authors: Sylvain Golénia, and Christoph Schumacher
Preprint: hal-00717815

Title: Approximation of the integrated density of states on sofic groups
Authors: Christoph Schumacher, and Fabian Schwarzenberger
Preprint: arXiv:1212.5207 [math.SP]

Title: Scale-free unique continuation estimates and applications to random Schrödinger operators
Authors: Constanza Rojas-Molina and Ivan Veselić
Preprint: http://www.tu-chemnitz.de/mathematik/preprint/2012/PREPRINT.php?year=2012&num=11
File: UC-10-20arxiv.pdf

Title: A Banach space-valued ergodic theorem for amenable groups and applications
Authors: Felix Pogorzelski, and Fabian Schwarzenberger
Preprint: http://arxiv.org/abs/1205.3649

Title: Uniform existence of the IDS for randomly weighted Laplacians on long range percolation graphs
Authors: Slim Ayadi, and Fabian Schwarzenberger, and Ivan Veselić
Preprint: http://arxiv.org/abs/1207.2445

Title: Classical Motion in Random Potentials
Authors: Andreas Knauf, and Christoph Schumacher
Journal: Ergodic Theory and Dynamical Systems, 2012.
DOI: http://dx.doi.org/10.1017/etds.2012.141
Abstract: We consider the motion of a classical particle under the influence of a random potential on R^d, in particular the distribution of asymptotic velocities and the question of ergodicity of time evolution.
Preprint: http://arxiv.org/abs/1111.3559

Title: Uniform approximation of the integrated density of states for long-range percolation Hamiltonians
Authors: Fabian Schwarzenberger
Journal: J. Stat. Phys., 146(6): 1156-1183, 2012
DOI: http://dx.doi.org/10.1007/s10955-012-0431-z
Preprint: http://www.tu-chemnitz.de/mathematik/preprint/2011/PREPRINT_21.php

2011

Title: The problem of deficiency indices for discrete Schrödinger operators on locally finite graphs
Authors: Sylvain Golénia, and Christoph Schumacher
Journal: J. Math. Phys., 52(6), 2011
DOI: http://dx.doi.org/10.1063/1.3596179
Preprint: http://arxiv.org/abs/1005.0165

Title: Uniform existence of the integrated density of states on metric Cayley graphs
Authors: Felix Pogorzelski, and Fabian Schwarzenberger, and Christian Seifert
Preprint: http://www.tu-chemnitz.de/mathematik/preprint/2011/PREPRINT_22.php

Title: Wegner estimate for alloy-type models with sign-changing and exponentially decaying single-site potentials
Authors: Norbert Peyerimhoff, and Martin Tautenhahn, and Ivan Veselić
Preprint: http://www.tu-chemnitz.de/mathematik/preprint/2011/PREPRINT_09.php

Title: Localization criteria for Anderson models on locally finite graphs
Authors: Martin Tautenhahn
Journal: J. Stat. Phys., 144(1): 60-77, 2011
DOI: http://dx.doi.org/10.1007/s10955-011-0248-1
Preprint: http://arxiv.org/abs/1008.4503

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
DOI: http://dx.doi.org/10.1007/s11005-011-0465-1
Preprint: http://arxiv.org/abs/1012.0393

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
DOI: http://dx.doi.org/10.1007/s10955-010-0099-1
Preprint: http://arxiv.org/abs/1010.0315

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
DOI: http://dx.doi.org/10.1007/s00020-010-1831-6
Preprint: http://arxiv.org/abs/1004.2385

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 Poincaré, 12(8): 1571-1599, 2011
DOI: http://dx.doi.org/10.1007/s00023-011-0112-5
Preprint: http://arxiv.org/abs/1011.5648

2010

Title: A note on regularity for discrete alloy-type models
Authors: Martin Tautenhahn, and Ivan Veselić
Preprint: http://www.tu-chemnitz.de/mathematik/preprint/2010/PREPRINT_11.php

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
DOI: http://dx.doi.org/10.1007/s11005-010-0417-1
Preprint: http://arxiv.org/abs/math-ph/0609014

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

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

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, 2010
DOI: http://dx.doi.org/10.1007/s10711-010-9491-x
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
DOI: http://dx.doi.org/10.1007/s10711-011-9657-1
Preprint (corrected version): http://arxiv.org/abs/1003.3620

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
DOI: http://dx.doi.org/10.1088/1751-8113/43/47/474021
Preprint: http://arxiv.org/abs/0903.0492

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
DOI: http://eproceedings.worldscinet.com/9789814304634/9789814304634_0049.html
Preprint: http://arxiv.org/abs/1004.2385

Publications of the Emmy-Noether junior research group, orderd by year

2009

Title: Generalized eigenfunctions and spectral theory for strongly local Dirichlet forms
Authors: Daniel Lenz, Peter Stollmann, and Ivan Veselić
Pages 83-106 in : Spectral theory and analysis
Proceedings: of the conference Operator Theory, Analysis and Mathematical Physics 2008 (OTAMP 2008) held in Bedlewo, June 15--22, 2008
Volume 214: of Operator Theory: Advances and Applications
Preprint: http://arxiv.org/abs/0909.1107

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
DOI: http://www.mathematik.uni-bielefeld.de/documenta/vol-14/07.html
Preprint: http://arxiv.org/abs/0909.1107

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
DOI: http://dx.doi.org/10.1007/s11040-009-9059-x
Preprint: http://www.arxiv.org/abs/0811.4513

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
DOI: http://dx.doi.org/10.1016/j.matpur.2009.05.014
Preprint: http://arxiv.org/abs/0706.2844

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

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

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, 2008
DOI: http://dx.doi.org/10.1007/s00209-008-0441-3
Preprint: http://arxiv.org/abs/0709.2836

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
DOI: http://dx.doi.org/10.1515/ROSE.2008.001
Preprint: http://arxiv.org/abs/0707.1486

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
DOI: http://dx.doi.org/10.1007/s10955-007-9459-x
Preprint: http://arxiv.org/abs/0707.1089

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
DOI: http:// dx.doi.org/10.1007/s11537-008-0729-4
Preprint: http://arxiv.org/abs/0705.1079

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
DOI: http://dx.doi.org/10.1007/s11117-008-2238-3
Preprint: http://arxiv.org/abs/math-ph/0607063

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
DOI: http://dx.doi.org/10.1016/j.jfa.2007.09.003
Preprint: http://arxiv.org/abs/math/0612743

Title: A linear Wegner estimate for alloy type Schroedinger operators on metric graphs
Authors: Mario Helm, and Ivan Veselić
Journal: Journal of Mathematicl Physics, 48:092107, 2007, abridged version
DOI: http://dx.doi.org/10.1063/1.2779763
Preprint: http://arxiv.org/abs/math/0611609

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
DOI: http://dx.doi.org/10.1007/s11040-007-9019-2
Preprint: http://arxiv.org/abs/math-ph/0203026

2006

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
DOI: http://dx.doi.org/10.1007/s11005-006-0111-5
Preprint: http://arxiv.org/abs/math-ph/0608005

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, 2006
DOI: http://dx.doi.org/10.1007/s00023-006-0302-8
Preprint: http://arxiv.org/abs/math-ph/0605080

Title: L2-Spectral Invariants and the Integrated Density of States
Authors: Józef Dodziuk, Daniel Lenz, Norbert Peyerimhoff, Thomas Schick, and Ivan Veselić
Journal: Oberwolfach Reports, 3(1):511-552, 2006, Report No. 9/2006

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
DOI: http://dx.doi.org/10.1007/s00209-005-0860-3
Preprint: http://arxiv.org/abs/math-ph/0408013

2005

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,2005
DOI: http://dx.doi.org/10.1007/s00220-005-1460-0
Preprint: http://arxiv.org/abs/math-ph/0412078

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

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
DOI: http://dx.doi.org/10.1007/1-4020-3197-1
Preprint: http://arxiv.org/abs/math-ph/0308041

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