Team > Prof. Dr. Thomas Kriecherbauer
Fakultät für Mathematik, Physik und Informatik
Mathematisches Institut
Research Interests
- random matrix theory
- dynamics of interacting particle systems
- evolution of stochastic correlations
- dynamics of completely integrable systems
- Riemann-Hilbert problems
- asymptotic analysis of orthogonal polynomials
Profiles
Fakultät für Mathematik, Physik und Informatik
Mathematisches Institut
Publications
2024
Pioch, Kilian; Kriecherbauer, Thomas; Margaliot, Michael; Grüne, Lars
Model order reduction for the TASEP Master equation
in IFAC-PapersOnLine volume 58 (2024) issue 17. - page 109-114
doi:10.1016/j.ifacol.2024.10.122 ...
MTNS 2024, 26th International Symposium on Mathematical Theory of Networks and Systems, Cambridge, UK
Katz, Rami; Kriecherbauer, Thomas; Grüne, Lars; Margaliot, Michael
On the gain of entrainment in a class of weakly contractive bilinear control systems
in SIAM Journal on Control and Optimization volume 62 (2024) issue 5. - page 2723-2749
doi:10.1137/23M1585714 ...
2023
Mazzuca, Guido; Grava, Tamara; Kriecherbauer, Thomas; McLaughlin, Kenneth T.-R.; Mendl, Christian B.; Spohn, Herbert
Equilibrium Spacetime Correlations of the Toda Lattice on the Hydrodynamic Scale
in Journal of Statistical Physics volume 190 (2023)
doi:10.1007/s10955-023-03155-x ...
rev.: AMS MatSciNet
Ofir, Ron; Kriecherbauer, Thomas; Grüne, Lars; Margaliot, Michael
On the gain of entrainment in the n-dimensional ribosome flow model
in Interface : Journal of the Royal Society volume 20 (2023) issue 199
doi:10.1098/rsif.2022.0763 ...
2022
Fleermann, Michael; Kirsch, Werner; Kriecherbauer, Thomas
Local semicircle law for Curie-Weiss type ensembles
in Electronic Journal of Probability volume 27 (2022)
doi:10.1214/22-ejp767 ...
rev.: AMS MatSciNet
2021
Fleermann, Michael; Kirsch, Werner; Kriecherbauer, Thomas
The almost sure semicircle law for random band matrices with dependent entries
in Stochastic Processes and their Applications volume 131 (2021) . - page 172-200
doi:10.1016/j.spa.2020.09.004 ...
rev.: AMS MatSciNet
Wu, Chengshuai; Grüne, Lars; Kriecherbauer, Thomas; Margaliot, Michael
Behavior of totally positive differential systems near a periodic solution
Proceedings of the 2021 IEEE Conference on Decision and Control (CDC)
Austin, Texas, USA , 2021. - page 3160-3165
doi:10.1109/CDC45484.2021.9683061 ...
Grüne, Lars; Kriecherbauer, Thomas; Margaliot, Michael
Random attraction in the TASEP model
in SIAM Journal on Applied Dynamical Systems volume 20 (2021) issue 1. - page 65-93
doi:10.1137/20M131446X ...
rev.: AMS MatSciNet
Grava, T.; Kriecherbauer, Thomas; Mazzuca, G.; McLaughlin, K. D. T.-R.
Correlation functions for a chain of short range oscillators
in Journal of Statistical Physics volume 183 (2021)
doi:10.1007/s10955-021-02735-z ...
rev.: AMS MatSciNet
Yakhshimuratov, A.; Kriecherbauer, Thomas; Babajanov, B.
On the construction and integration of a hierarchy for the Kaup system with a self-consistent s ...
in Journal of Mathematical Physics, Analysis, Geometry volume 17 (2021) issue 2. - page 233-257
doi:10.15407/mag17.02.233 ...
rev.: 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 volume 376 (2020)
doi:10.1016/j.amc.2020.125136 ...
rev.: AMS MatSciNet
Kirsch, Werner; Kriecherbauer, Thomas
Random matrices with exchangeable entries
in Reviews in Mathematical Physics volume 32 (2020) issue 7
doi:10.1142/S0129055X20500221 ...
rev.: AMS MatSciNet
2018
Kriecherbauer, Thomas; Venker, Martin
Edge statistics for a class of repulsive particle systems
in Probability Theory Related Fields volume 170 (2018) issue 3-4. - page 617-655
doi:10.1007/s00440-017-0765-1 ...
rev.: AMS MatSciNet
Margaliot, Michael; Grüne, Lars; Kriecherbauer, Thomas
Entrainment in the Master Equation
in Royal Society Open Science volume 5 (2018) issue 4
doi:10.1098/rsos.172157 ...
Kirsch, Werner; Kriecherbauer, Thomas
Semicircle law for generalized Curie-Weiss matrix ensembles at subcritical temperature
in Journal of Theoretical Probability volume 31 (2018) issue 4. - page 2446-2458
doi:10.1007/s10959-017-0768-y ...
rev.: 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. - page 349-379 . - (EMS Series of Congress Reports)
doi:10.4171/186-1/15 ...
rev.: 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 volume 12 (2016)
doi:10.3842/SIGMA.2016.093 ...
rev.: AMS MatSciNet
2015
Kriecherbauer, Thomas; Schüler, Katharina; Schubert, Kristina; Venker, M.
Global asymptotics for the Christoffel-Darboux kernel of random matrix theory
in Markov Processes and Related Fields volume 21 (2015) issue 3. - page 639-694
rev.: 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. - page 45-71 . - (Springer Proceedings in Mathematics & Statistics; 53)
doi:10.1007/978-3-642-38806-4_3 ...
rev.: 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 volume 43 (2010) issue 40
doi:10.1088/1751-8113/43/40/403001 ...
rev.: AMS MatSciNet
2009
Wienholtz, Ernst; Kalf, Hubert; Kriecherbauer, Thomas
Elliptische Differentialgleichungen zweiter Ordnung : Eine Einführung mit historischen Bemerkun ...
Berlin : Springer, 2009. - XI, 401 page
doi:10.1007/978-3-540-45721-3 ...
rev.: AMS MatSciNet
2008
Kriecherbauer, Thomas; Kuijlaars, A. B. J.; McLaughlin, K. D. T.-R.; Miller, Peter 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. - page 183-195 . - (Contemporary Mathematics; 458)
doi:10.1090/conm/458/08936 ...
rev.: 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 ...
rev.: AMS MatSciNet
Deift, P.; Gioev, D.; Kriecherbauer, Thomas; Vanlessen, M.
Universality for orthogonal and symplectic Laguerre-type ensembles
in Journal of Statistical Physics volume 129 (2007) issue 5-6. - page 949-1053
doi:10.1007/s10955-007-9325-x ...
rev.: AMS MatSciNet
2003
Baik, J.; Kriecherbauer, Thomas; McLaughlin, K. D. T.-R.; Miller, Peter D.
Uniform asymptotics for polynomials orthogonal with respect to a general class of discrete weig ...
in International Mathematics Research Notices (2003) issue 15. - page 821-858
doi:10.1155/S1073792803212125 ...
rev.: 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 volume 61 (2001) issue 5. - page 1802-1815
doi:10.1137/S0036139999365341 ...
rev.: AMS MatSciNet
Kriecherbauer, Thomas; Remling, Christian
Finite gap potentials and WKB asymptotics for one-dimensional Schrödinger operators
in Communications in Mathematical Physics volume 223 (2001) issue 2. - page 409-435
doi:10.1007/s002200100550 ...
rev.: 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 volume 98 (2001) issue 19. - page 10531-10532
doi:10.1073/pnas.191366198 ...
rev.: 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 volume 133 (2001) issue 1-2. - page 47-63
doi:10.1016/S0377-0427(00)00634-8 ...
5th International Symposium on Orthogonal Polynomials, Special Functions and their Applications, Patras, Greece
rev.: 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 volume 60 (2000) issue 1. - page 272-294
doi:10.1137/S0036139998340315 ...
rev.: 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 volume 52 (1999) issue 12. - page 1491-1552
https://onlinelibrary.wiley.com/doi/abs/10.1002/%2 ...
rev.: AMS MatSciNet
Kriecherbauer, Thomas; McLaughlin, K. T.-R.
Strong asymptotics of polynomials orthogonal with respect to Freud weights
in International Mathematics Research Notices (1999) issue 6. - page 299-333
doi:10.1155/S1073792899000161 ...
rev.: 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 volume 52 (1999) issue 11. - page 1335-1425
doi:10.1002/(SICI)1097-0312(199911)52:11<1335::AID ...
rev.: 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) issue 17. - page 907-935
doi:10.1155/S1073792898000555 ...
rev.: 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. - page 87-104 . - (Proceedings of Symposia in Applied Mathematics; 54)
doi:10.1090/psapm/054/1492693 ...
rev.: 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 volume 95 (1998) issue 3. - page 388-475
doi:10.1006/jath.1997.3229 ...
rev.: 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. - page 491-501
https://www.elibm.org/ft/10011605000
rev.: 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 volume 225 (1998) issue 1. - page 347-357
doi:10.1006/jmaa.1998.6048 ...
rev.: 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) issue 16. - page 759-782
doi:10.1155/S1073792897000500 ...
rev.: AMS MatSciNet
Hempel, Rainer; Kriecherbauer, Thomas; Plankensteiner, Peter
Discrete and Cantor spectrum for Neumann Laplacians of combs
in Mathematische Nachrichten volume 188 (1997) issue 1. - page 141-168
doi:10.1002/mana.19971880109 ...
rev.: 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. - page 377-389
rev.: AMS MatSciNet
Deift, Percy; Kamvissis, Spyridon; Kriecherbauer, Thomas; Zhou, Xin
The Toda rarefaction problem
in Communications on Pure and Applied Mathematics volume 49 (1996) issue 1. - page 35-83
doi:10.1002/(SICI)1097-0312(199601)49:1<35::AID-CP ...
rev.: AMS MatSciNet
1995
Deift, Percy; Kriecherbauer, Thomas; Venakides, Stephanos
Forced lattice vibrations. Part I
in Communications on Pure and Applied Mathematics volume 48 (1995) issue 11. - page 1187-1249
doi:10.1002/cpa.3160481102 ...
rev.: AMS MatSciNet
Deift, Percy; Kriecherbauer, Thomas; Venakides, Stephanos
Forced lattice vibrations. Part II
in Communications on Pure and Applied Mathematics volume 48 (1995) issue 11. - page 1251-1298
doi:10.1002/cpa.3160481103 ...
rev.: AMS MatSciNet
1993
Kriecherbauer, Thomas
Forced lattice vibrations
Ann Arbor, MI, ProQuest Diss. Publ., 1993. - 159 page
http://gateway.proquest.com/openurl?url_ver=Z39.88 ...
(dissertation, 1993,
)
rev.: AMS MatSciNet
Fakultät für Mathematik, Physik und Informatik
Mathematisches Institut
Prof. Dr. Thomas Kriecherbauer
Professor
Chair of Mathematics VI
Building NW II
Room 3.2.01.545
Universität Bayreuth
95440 Bayreuth
Phone: 0921/55-3291
E-mail: thomas.kriecherbauer@uni-bayreuth.de
Office hours by appointment