TU Chemnitz > Fakultät für Mathematik > Emmy-Noether Nachwuchsgruppe > I. Veselić´s papers
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Publications and preprints authored by Ivan Veselić:

  1. Localization for random perturbations of periodic Schrödinger operators with regular Floquet eigenvalues
    mp-arc preprint 98-569 , 1998
    Annales Henri Poincaré , Volume 3, Issue 2, pp 389-409 (2002),
  2. Wegner Estimate and the Density of States of Some Indefinite Alloy-Type Schrödinger Operators
    mp-arc preprint 00-373 , 2000 (first version)
    Letters in Mathematical Physics 59 (3): 199-214, March 2002
  3. Integrated density of states for ergodic random Schrödinger operators on manifolds (joint work with N. Peyerimhoff )
    arXiv.org preprint math-ph/0210047 , 2002
    Geometriae Dedicata, 91 (1): 117-135, April 2002
  4. Wegner Estimate for Indefinite Anderson Potentials: some recent results and applications, (joint work with V. Kostrykin)
    Proceedings of the workshop on ''Renormalization Group Methods in Mathematical Sciences'' (Kyoto, 2001), Lecture Notes of Res. Inst. of Math. Sciences, volume 1275. http://www.setsunan.ac.jp/mpg/confs/rims01/renom01.html
  5. Wegner estimate for sparse and other generalized alloy type potentials , (joint work with W. Kirsch)
    mp-arc preprint 02-143 , 2002
    Proceedings of the Indian Academy of Sciences Mathematical Sciences, Vol. 112, No. 1, February 2002
  6. Existence of the density of states for some alloy type models with single site potentials that change sign
    arXiv.org preprint math-ph/0204031 , 2002
    Pages 301-311 in: Z. Drmac et al. (Editors), Proceedings of ''Applied Mathematics and Scientific Computing'', June 2001, Dubrovnik, Croatia,
    Kluwer, 2003
  7. Existence of the density of states for one-dimensional alloy-type potentials with small support, (joint work with W. Kirsch)
    arXiv.org preprint math-ph/0204030 , 2002
    In: R. Weder et al. (Editors) Proceedings of the QMath-8 Conference on Mathematical results in Quantum Mechanics in Taxco, Mexico, December 2001, AMS, Contemporaty Mathematics Vol. 307
  8. Groupoids, von Neumann Algebras, and the integrated density of states
    (joint work with Daniel Lenz and Norbert Peyerimhoff )
    40 pages, arXiv preprint http://arxiv.org/abs/math-ph/0203026,
    available online at Mathematical Physics, Analysis and Geometry,
    http://dx.doi.org/10.1007/s11040-007-9019-2
  9. Random Schrödinger operators on manifolds
    (joint work with Daniel Lenz and Norbert Peyerimhoff )
    arXiv.org perprint math-ph/0212057 , 2002
    Markov Processes and Related Fields,Volume 9, Issue 4, pp. 717-728, 2003
  10. Integrated density of states and Wegner estimates for random Schrödinger Operators
    lecture notes of talks given at the IIMAS, UNAM, Mexico, in December 2001.
    arXiv.org preprint math-ph/0307062 , 2003 and mp_arc preprint 03-473 , 2003.
    published version in Contemporary Mathematics, 340, AMS, February 2004
  11. Integrated density of states for random metrics on manifolds
    (joint work with Daniel Lenz and Norbert Peyerimhoff )
    arXiv.org preprint math-ph/0212058 , 2002
    Proceedings of the London Mathematical Society Volume 88 - Issue 03, p. 733-752, May 2004.
  12. Quantum site percolation on amenable graphs.
    arXiv.org preprint math-ph/0308041 , 2003.
    Pages 317-328 in Applied Mathematics and Scientific Computing, Brijuni, 23rd-27th June 2003, Springer, 2005, ISBN: 1-4020-3196-3,2005.
  13. Spectral Analysis of Percolation Hamiltonians .
    arXiv.org preprint math-ph/0405006, 2004.
    Mathematische Annalen, 331(4):841 - 865 , 2005.
  14. On the Lipschitz continuity of the integrated density of states for sign-indefinite potentials
    (joint work with Vadim Kostrykin )
    arXiv.org preprint math-ph/0408013, 2004
    Mathematische Zeitschrift 252 (2): 367 - 392, published online 2005, http://dx.doi.org/10.1007/s00209-005-0860-3
  15. Bounds on the spectral shift function and the density of state
    (joint work with Dirk Hundertmark, Rowan Killip, Shu Nakamura, Peter Stollmann)
    arXiv.org preprint math-ph/0412078 , mp_arc preprint 04-423 , 2004
    Communications in Mathematical Physics 262 (2):489 - 503, published online 2005, http://dx.doi.org/10.1007/s00220-005-1460-0
  16. L2-Spectral Invariants and the Integrated Density of States.
    (organized with J. Dodziuk, D. Lenz, N. Peyerimhoff, T. Schick)
    Report No. 9/2006 (2006).
    Oberwolfach Reports 3(1):511-552 (2006).
  17. Lower bounds on the lowest spectral gap of singular potential Hamiltonians
    (joint work with Sylwia Kondej )
    preprint arxiv.org/math-ph/0605080 , 2006,
    Annales Henri Poincaré , Volume 8, Issue 1, http://dx.doi.org/10.1007/s00023-006-0302-8,
  18. Uniform existence of the integrated density of states for models on Zd
    (joint work with Daniel Lenz and Peter Müller )
    PDF-file of preprint arXiv.org/math-ph/0607063.
    Positivity, pages 571-589 in Volume 12, Number 4, 2008, DOI 10.1007/s11117-008-2238-3
  19. The lowest spectral gap of segments of a periodic waveguide is proportional to the square of the inverse length
    (joint work with Sylwia Kondej )
    preprint arxiv.org/math-ph/0608005 , 2006.
    Letters in Mathematical Physics, 79(1):95-98, 2007 with doi http://dx.doi.org/10.1007/s11005-006-0111-5
  20. Lifschitz tails and localisation for a class of Schrödinger operators with random breather-type potential,
    (joint work with W. Kirsch)
    preprint http://arxiv.org/math-ph/0609014 , 2006
  21. A linear Wegner estimate for alloy type Schroedinger operators on metric graphs
    (joint work with Mario Helm)
    preprint arxiv.org/math.SP/0611609 , 2006.
    abridged version published in Journal of Mathematicl Physics, 48:092107, 2007,
    with doi http://dx.doi.org/10.1063/1.2779763
  22. Uniform existence of the integrated density of states for random Schrödinger operators on metric graphs over Zd
    (joint work with Michael Gruber and Daniel Lenz )
    PDF-file of preprint arxiv.org/abs/math/0612743.
    Published online in the Journal of Functional Analysis with dx.doi.org/10.1016/j.jfa.2007.09.003.
  23. Continuity properties of the integrated density of states on manifolds
    (joint work with Daniel Lenz, Norbert Peyerimhoff and Olaf Post)
    preprint arxiv.org/abs/0705.1079.
    Japanese Journal of Mathematics 3(1):121-161, 2008
  24. Spectral asymptotics of percolation Hamiltonians on amenable Cayley graphs
    (joint work with Tonći Antunović ), preprint arxiv.org/abs/0707.4292.
    Pages 1-29 in Methods of Spectral Analysis in Mathematical Physics,
    Volume 186 of Operator Theory: Advances and Applications, Springer, 2008
  25. Sharpness of the phase transition and exponential decay of the subcritical cluster size for percolation on quasi-transitive graphs
    (joint work with Tonći Antunović ), preprint arxiv.org/abs/0707.1089
    Journal of Statistical Physics 130(5):983-1009, http://dx.doi.org/10.1007/s10955-007-9459-x .
  26. Equality of Lifshitz and van Hove exponents on amenable Cayley graphs
    (joint work with Tonći Antunović ), preprint arxiv.org/abs/0706.2844 . To appear in Journal de mathematiques pures et appliquees with DOI 10.1016/j.matpur.2009.05.014
  27. The modulus of continuity of Wegner estimates for random Schrödinger operators on metric graphs
    (joint work with Michael Gruber), preprint arXiv.org/math.SP/0612743
    Random Operators and Stochastic Equations, 16(1):1-10, 2008
  28. Hamiltonians on discrete structures: Jumps of the integrated density of states and uniform convergence
    (joint work with Daniel Lenz)
    arXiv preprint http://www.arxiv.org/abs/0709.2836
    Published online in Mathematische Zeitschrift with DOI 10.1007/s00209-008-0441-3
  29. Optimal Wegner estimates for random Schroedinger operators on metric graphs
    (joint work with Michael Gruber and Mario Helm).
    Pages 409-422 in Analysis on Graphs and its Applications (edited by P. Exner, J. Keating, P.Kuchment T. Sunada and A. Teplyaev)
    Volume 77 in the Series Proceedings of Symposia in Pure Mathematics
  30. Uniform existence of the integrated density of states for combinatorial and metric graphs over Zd
    (joint work with Michael Gruber and Daniel Lenz ), arxiv-preprint arxiv.org/abs/0712.1740.
    Pages 87-108 in Analysis on Graphs and its Applications (edited by P. Exner, J. Keating, P.Kuchment T. Sunada and A. Teplyaev)
    Volume 77 in the Series Proceedings of Symposia in Pure Mathematics
  31. Wegner estimates for sign-changing single site potentials
    arXiv preprint http://www.arxiv.org/abs/0806.0482
  32. The Allegretto-Piepenbrink Theorem for strongly local forms
    (joint work with Daniel Lenz and Peter Stollmann)
    arXiv preprint http://www.arxiv.org/abs/0811.2135
  33. Continuity of the integrated density of states on random length metric graphs
    (joint work with Daniel Lenz, Norbert Peyerimhoff and Olaf Post)
    arXiv preprint http://www.arxiv.org/abs/0811.4513
    34. Theses
  34. Lokalisierung bei zufällig gestörten periodischen Schrödingeroperatoren in Dimension Eins, diploma thesis, 1996
  35. 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
    Technical Reports
  37. Integrated density of states for random Schrödinger operators on manifolds (joint work with N. Peyerimhoff ) MaPhySto Research Report No. 2000-33
  38. The spectral shift function of a compactly supported potential and Wegner estimates
    (joint work with Dirk Hundertmark and Rowan Killip )
    draft, June 2003.
  39. Bounds on the spectral shift function and the (integrated) density of states
    extended abstract (based on joint work with D. Hundertmark, R. Killip, S. Nakamura, P. Stollmann)
    for the Oberwolfach-Conference "Mathematics and Physics of Disordered Systems" published in Oberwolfach Reports, Volume 1, Issue 2, pp: 1214-1216, 2004.
  40. Spectral properties of Anderson-percolation Hamiltonians
    contribution for the Oberwolfach Report of the mini-workshop "L2-Spectral Invariants and the Integrated Density of States",
    Oberwolfach Reports, 3(1):545-547, 2006.
  41. Lifshitz asymptotics for Hamiltonians monotone in the randomness
    contribution for the Oberwolfach Report of the mini-workshop "Multiscale and Variational Methods in Material Science and Quantum Theory of Solids",
  42. Wegner estimates for non-monotoneously correlated alloy type models
    contribution for the Oberwolfach Report of the mini-workshop " Disordered Systems: Random Schrödinger Operators and Random Matrices ",
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Ivan Veselić
28. Mai 2009		 Technische Universität Chemnitz, Straße der Nationen 62, 09107 Chemnitz
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