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Prof. Dr. Thomas Kriecherbauer Prof. Dr. Thomas Kriecherbauer
Prof. Dr. Thomas Kriecherbauer

Fakultät für Mathematik, Physik und Informatik
Mathematisches Institut


Arbeitsgebiete

  • Spektrale Eigenschaften zufälliger Matrizen
  • Dynamik wechselwirkender Teilchensysteme
  • Ausbreitung stochastischer Abhängigkeiten
  • Dynamik nichtlinearer integrabler Systeme 
  • Riemann-Hilbert-Probleme
  • Asymptotik Orthogonaler Polynome

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Prof. Dr. Thomas Kriecherbauer

Fakultät für Mathematik, Physik und Informatik
Mathematisches Institut


Publikationen

2021

Wu, Chengshuai; Grüne, Lars; Kriecherbauer, Thomas; Margaliot, Michael
Behavior of totally positive differential systems near a periodic solution
Bayreuth ; Tel Aviv, 2021
https://arxiv.org/pdf/2101.06027

Grüne, Lars; Kriecherbauer, Thomas; Margaliot, Michael
Random attraction in the TASEP model
In: SIAM Journal on Applied Dynamical Systems Bd. 20 (2021) Heft 1. - S. 65-93
doi:10.1137/20M131446X ...
Rez.: AMS MatSciNet

Fleermann, Michael; Kirsch, Werner; Kriecherbauer, Thomas
The almost sure semicircle law for random band matrices with dependent entries
In: Stochastic Processes and their Applications Bd. 131 (2021) . - S. 172-200
doi:10.1016/j.spa.2020.09.004 ...
Rez.: AMS MatSciNet

2020

Babadjanova, Aygul; Kriecherbauer, Thomas; Urazboev, Gayrat
The periodic solutions of the discrete modified KdV equation with a self-consistent source
In: Applied Mathematics and Computation Bd. 376 (2020)
doi:10.1016/j.amc.2020.125136 ...
Rez.: AMS MatSciNet

Kirsch, Werner; Kriecherbauer, Thomas
Random matrices with exchangeable entries
In: Reviews in Mathematical Physics Bd. 32 (2020) Heft 7
doi:10.1142/S0129055X20500221 ...
Rez.: AMS MatSciNet

2018

Margaliot, Michael; Grüne, Lars; Kriecherbauer, Thomas
Entrainment in the Master Equation
In: Royal Society Open Science Bd. 5 (2018)
doi:10.1098/rsos.172157 ...

Kriecherbauer, Thomas; Venker, Martin
Edge statistics for a class of repulsive particle systems
In: Probability Theory Related Fields Bd. 170 (2018) Heft 3-4. - S. 617-655
doi:10.1007/s00440-017-0765-1 ...
Rez.: AMS MatSciNet

Kirsch, Werner; Kriecherbauer, Thomas
Semicircle law for generalized Curie-Weiss matrix ensembles at subcritical temperature
In: Journal of Theoretical Probability Bd. 31 (2018) Heft 4. - S. 2446-2458
doi:10.1007/s10959-017-0768-y ...
Rez.: AMS MatSciNet

Kirsch, Werner; Kriecherbauer, Thomas
Sixty years of moments for random matrices
Non-linear partial differential equations, mathematical physics, and stochastic analysis
Zürich : European Mathematical Society, 2018. - S. 349-379 . - (EMS Series of Congress Reports)
doi:10.4171/186-1/15 ...
Rez.: AMS MatSciNet

2016

Eichelsbacher, Peter; Kriecherbauer, Thomas; Schüler, Katharina
Precise deviations results for the maxima of some determinantal point processes : the upper tai ...
In: Symmetry, Integrability and Geometry: Methods and Applications Bd. 12 (2016)
doi:10.3842/SIGMA.2016.093 ...
Rez.: AMS MatSciNet

2015

Kriecherbauer, Thomas; Schüler, K.; Schubert, K.; Venker, M.
Global asymptotics for the Christoffel-Darboux kernel of random matrix theory
In: Markov Processes and Related Fields Bd. 21 (2015) Heft 3. - S. 639-694
Rez.: AMS MatSciNet

2013

Kriecherbauer, Thomas; Schubert, Kristina
Spacings : an example for universality in random matrix theory
Random matrices and iterated random functions
Heidelberg : Springer, 2013. - S. 45-71 . - (Springer Proceedings in Mathematics & Statistics; 53)
doi:10.1007/978-3-642-38806-4_3 ...
Rez.: AMS MatSciNet

2010

Kriecherbauer, Thomas; Krug, Joachim
A pedestrian's view on interacting particle systems, KPZ universality and random matrices
In: Journal of Physics A: Mathematical and Theoretical Bd. 43 (2010) Heft 40
doi:10.1088/1751-8113/43/40/403001 ...
Rez.: AMS MatSciNet

2009

Wienholtz, Ernst; Kalf, Hubert; Kriecherbauer, Thomas
Elliptische Differentialgleichungen zweiter Ordnung : Eine Einführung mit historischen Bemerkun ...
Berlin : Springer, 2009. - XI, 401 S.
doi:10.1007/978-3-540-45721-3 ...

Rez.: AMS MatSciNet

2008

Kriecherbauer, Thomas; Kuijlaars, A. B. J.; McLaughlin, K. D. T.-R.; Miller, P. D.
Locating the zeros of partial sums of eᶻ with Riemann-Hilbert methods
Integrable systems and random matrices : in honor of Percy Deift
Providence, RI : American Mathematical Society, 2008. - S. 183-195 . - (Contemporary Mathematics; 458)
doi:10.1090/conm/458/08936 ...
Rez.: AMS MatSciNet

2007

Baik, Jinho; Kriecherbauer, Thomas; McLaughlin, K. T.-R.; Miller, Peter D.
Discrete orthogonal polynomials
Princeton, NJ : Princeton University Press, 2007 . - (Annals of Mathematics Studies; 164)
doi:10.1515/9781400837137 ...

Rez.: AMS MatSciNet

Deift, P.; Gioev, D.; Kriecherbauer, Thomas; Vanlessen, M.
Universality for orthogonal and symplectic Laguerre-type ensembles
In: Journal of Statistical Physics Bd. 129 (2007) Heft 5-6. - S. 949-1053
doi:10.1007/s10955-007-9325-x ...
Rez.: AMS MatSciNet

2003

Baik, J.; Kriecherbauer, Thomas; McLaughlin, K. D. T.-R.; Miller, P. D.
Uniform asymptotics for polynomials orthogonal with respect to a general class of discrete weig ...
In: International Mathematics Research Notices (2003) Heft 15. - S. 821-858
doi:10.1155/S1073792803212125 ...
Rez.: AMS MatSciNet

2001

Georgieva, Anna; Kriecherbauer, Thomas; Venakides, Stephanos
1:2 resonance mediated second harmonic generation in a 1-D nonlinear discrete periodic medium
In: SIAM Journal on Applied Mathematics Bd. 61 (2001) Heft 5. - S. 1802-1815
doi:10.1137/S0036139999365341 ...
Rez.: AMS MatSciNet

Kriecherbauer, Thomas; Remling, Christian
Finite gap potentials and WKB asymptotics for one-dimensional Schrödinger operators
In: Communications in Mathematical Physics Bd. 223 (2001) Heft 2. - S. 409-435
doi:10.1007/s002200100550 ...
Rez.: AMS MatSciNet

Kriecherbauer, Thomas; Marklof, Jens; Soshnikov, Alexander
Random matrices and quantum chaos
In: Proceedings of the National Academy of Sciences of the United States of America Bd. 98 (2001) Heft 19. - S. 10531-10532
doi:10.1073/pnas.191366198 ...
Rez.: AMS MatSciNet

Deift, P.; Kriecherbauer, Thomas; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
A Riemann-Hilbert approach to asymptotic questions for orthogonal polynomials
In: Journal of Computational and Applied Mathematics Bd. 133 (2001) Heft 1-2. - S. 47-63
doi:10.1016/S0377-0427(00)00634-8 ...
5th International Symposium on Orthogonal Polynomials, Special Functions and their Applications, Patras, Greece
Rez.: AMS MatSciNet

2000

Georgieva, Anna; Kriecherbauer, Thomas; Venakides, Stephanos
Wave propagation and resonance in a one-dimensional nonlinear discrete periodic medium
In: SIAM Journal on Applied Mathematics Bd. 60 (2000) Heft 1. - S. 272-294
doi:10.1137/S0036139998340315 ...
Rez.: AMS MatSciNet

1999

Deift, P.; Kriecherbauer, Thomas; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
Strong asymptotics of orthogonal polynomials with respect to exponential weights
In: Communications on Pure and Applied Mathematics Bd. 52 (1999) Heft 12. - S. 1491-1552
https://onlinelibrary.wiley.com/doi/abs/10.1002/%2 ...
Rez.: AMS MatSciNet

Kriecherbauer, Thomas; McLaughlin, K. T.-R.
Strong asymptotics of polynomials orthogonal with respect to Freud weights
In: International Mathematics Research Notices (1999) Heft 6. - S. 299-333
doi:10.1155/S1073792899000161 ...
Rez.: AMS MatSciNet

Deift, P.; Kriecherbauer, Thomas; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and ...
In: Communications on Pure and Applied Mathematics Bd. 52 (1999) Heft 11. - S. 1335-1425
doi:10.1002/(SICI)1097-0312(199911)52:11<1335::AID ...
Rez.: AMS MatSciNet

1998

Kriecherbauer, Thomas
Estimates on Green's functions of quasi-periodic matrix operators and a new version of the coup ...
In: International Mathematics Research Notices (1998) Heft 17. - S. 907-935
doi:10.1155/S1073792898000555 ...
Rez.: AMS MatSciNet

Deift, P.; Kriecherbauer, Thomas; McLaughlin, K. T.-R.
New results for the asymptotics of orthogonal polynomials and related problems via the Lax-Leve ...
Recent advances in partial differential equations : Venice 1996 ; proceedings of a conference in honor of the 70th birthdays of Peter D. Lax and Louis Nirenberg
Providence, R.I. : American Math. Soc., 1998. - S. 87-104 . - (Proceedings of Symposia in Applied Mathematics; 54)
doi:10.1090/psapm/054/1492693 ...
Rez.: AMS MatSciNet

Deift, P.; Kriecherbauer, Thomas; McLaughlin, K. T.-R.
New results on the equilibrium measure for logarithmic potentials in the presence of an externa ...
In: Journal of Approximation Theory Bd. 95 (1998) Heft 3. - S. 388-475
doi:10.1006/jath.1997.3229 ...
Rez.: AMS MatSciNet

Deift, P.; Kriecherbauer, Thomas; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
Uniform asymptotics for orthogonal polynomials
Proceedings of the International Congress of Mathematicians. Vol. III
Bielefeld : Fak. für Mathematik, 1998. - S. 491-501
https://www.elibm.org/ft/10011605000
Rez.: AMS MatSciNet

Brown, B. Malcolm; Eastham, Michael S. P.; Hinz, Andreas M.; Kriecherbauer, Thomas; McCormack, Daniel K. R.; Schmidt, Karl Michael
Welsh eigenvalues of radially periodic Schrödinger operators
In: Journal of Mathematical Analysis and Applications Bd. 225 (1998) Heft 1. - S. 347-357
doi:10.1006/jmaa.1998.6048 ...
Rez.: AMS MatSciNet

1997

Deift, P.; Kriecherbauer, Thomas; McLaughlin, K. T.-R.; Venakides, S.; Zhou, X.
Asymptotics for polynomials orthogonal with respect to varying exponential weights
In: International Mathematics Research Notices (1997) Heft 16. - S. 759-782
doi:10.1155/S1073792897000500 ...
Rez.: AMS MatSciNet

Hempel, Rainer; Kriecherbauer, Thomas; Plankensteiner, Peter
Discrete and Cantor spectrum for Neumann Laplacians of combs
In: Mathematische Nachrichten Bd. 188 (1997) Heft 1. - S. 141-168
doi:10.1002/mana.19971880109 ...
Rez.: AMS MatSciNet

1996

Deift, P.; Kriecherbauer, Thomas; Venakides, Stephanos
Forced lattice vibrations
Proceedings of the First Workshop on Nonlinear Physics, Theory and Experiment
Singapore : World Scientific, 1996. - S. 377-389
Rez.: AMS MatSciNet

Deift, Percy; Kamvissis, Spyridon; Kriecherbauer, Thomas; Zhou, Xin
The Toda rarefaction problem
In: Communications on Pure and Applied Mathematics Bd. 49 (1996) Heft 1. - S. 35-83
doi:10.1002/(SICI)1097-0312(199601)49:1<35::AID-CP ...
Rez.: AMS MatSciNet

1995

Deift, Percy; Kriecherbauer, Thomas; Venakides, Stephanos
Forced lattice vibrations. Part I
In: Communications on Pure and Applied Mathematics Bd. 48 (1995) Heft 11. - S. 1187-1249
doi:10.1002/cpa.3160481102 ...
Rez.: AMS MatSciNet

Deift, Percy; Kriecherbauer, Thomas; Venakides, Stephanos
Forced lattice vibrations. Part II
In: Communications on Pure and Applied Mathematics Bd. 48 (1995) Heft 11. - S. 1251-1298
doi:10.1002/cpa.3160481103 ...
Rez.: AMS MatSciNet

1993

Kriecherbauer, Thomas
Forced lattice vibrations
Ann Arbor, MI, ProQuest Diss. Publ., 1993. - 159 S.
http://gateway.proquest.com/openurl?url_ver=Z39.88 ...
(Dissertation, 1993, )

Rez.: AMS MatSciNet

Prof. Dr. Thomas Kriecherbauer

Fakultät für Mathematik, Physik und Informatik
Mathematisches Institut


Prof. Dr. Thomas Kriecherbauer
Professor

Lehrstuhl Mathematik VI
Gebäude NW II
Raum 3.2.01.545
Universität Bayreuth    
95440 Bayreuth   

Telefon: 0921/55-3291
E-Mail: thomas.kriecherbauer@uni-bayreuth.de

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Verantwortlich für die Redaktion: Univ.Prof.Dr. Thomas Kriecherbauer

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