Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Thomas Kriecherbauer"'
Publikováno v:
Royal Society Open Science, Vol 5, Iss 4 (2018)
The master equation plays an important role in many scientific fields including physics, chemistry, systems biology, physical finance and sociodynamics. We consider the master equation with periodic transition rates. This may represent an external pe
Externí odkaz:
https://doaj.org/article/688656861ce6409fbe68e4ec04995f75
Publikováno v:
Journal of The Royal Society Interface. 20
The ribosome flow model (RFM) is a phenomenological model for the flow of particles along a one-dimensional chain of n sites. It has been extensively used to study ribosome flow along the mRNA molecule during translation. When the transition rates al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3428c70e31c8a491a9c0c27885f0bde2
https://doi.org/10.1098/rsif.2022.0763
https://doi.org/10.1098/rsif.2022.0763
Publikováno v:
SIAM Journal on Applied Dynamical Systems. 20:65-93
The totally asymmetric simple exclusion process (TASEP) is a basic model of statistical mechanics that has found numerous applications. We consider the case of TASEP with a finite chain where particles may enter from the left and leave to the right a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::08f901916f69ad805bcbf9e087623f29
https://doi.org/10.1137/20m131446x
https://doi.org/10.1137/20m131446x
A time-varying nonlinear dynamical system is called a totally positive differential system (TPDS) if its Jacobian admits a special sign pattern: it is tri-diagonal with positive entries on the super- and sub-diagonals. If the vector field of a TPDS i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::664948afe06e1995d3d9196d244b80b6
http://arxiv.org/abs/2101.06027
http://arxiv.org/abs/2101.06027
Autor:
Werner Kirsch, Thomas Kriecherbauer
Publikováno v:
Journal of Theoretical Probability. 31:2446-2458
Hochstattler et al. (J Theor Probab 29:1047–1068, 2016) showed that the semicircle law holds for generalized Curie–Weiss matrix ensembles at or above the critical temperature. We extend their result to the case of subcritical temperatures for whi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0e99da271ee74fef1e13b34006084c1e
https://doi.org/10.1007/s10959-017-0768-y
https://doi.org/10.1007/s10959-017-0768-y
We derive and compare various forms of local semicircle laws for random matrices with exchangeable entries which exhibit correlations that decay at a very slow rate. In fact, any $l$-point correlation will decay at a rate of $N^{-l/2}$. We call our e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c12335a4988889a8e6aeb47f369af21
http://arxiv.org/abs/1907.08782
http://arxiv.org/abs/1907.08782
Publikováno v:
Applied Mathematics and Computation. 376:125136
This work is devoted to the application of inverse spectral problem for integration of the periodic solutions of the discrete modified KdV equation with a self-consistent source. The effective method of solution of the inverse spectral problem for th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ed57f72ac873dc405a8218d006345893
https://doi.org/10.1016/j.amc.2020.125136
https://doi.org/10.1016/j.amc.2020.125136
Autor:
Thomas Kriecherbauer, Werner Kirsch
We consider ensembles of real symmetric band matrices with entries drawn from an infinite sequence of exchangeable random variables, as far as the symmetry of the matrices permits. In general, the entries of the upper triangular parts of these matric
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::55e416aa2ad13b80fadde295312974fa
We analyze the empirical spectral distribution of random periodic band matrices with correlated entries. The correlation structure we study was first introduced in Hochstattler et al. (2015) by Hochstattler, Kirsch and Warzel, who named their setup a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::85a472bec2eeb2021b93125478387961
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications.
We prove precise deviations results in the sense of Cram\'er and Petrov for the upper tail of the distribution of the maximal value for a special class of determinantal point processes that play an important role in random matrix theory. Here we cove
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ce28b14e46fafb9d6dba7cd47a9fbf7a
https://doi.org/10.3842/sigma.2016.093
https://doi.org/10.3842/sigma.2016.093