Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Knizel, Alisa"'
Autor:
Dimitrov, Evgeni, Knizel, Alisa
We introduce a two-parameter family of probability distributions, indexed by $\beta/2 = \theta > 0$ and $K \in \mathbb{Z}_{\geq 0}$, that are called $\beta$-Krawtchouk corners processes. These measures are related to Jack symmetric functions, and can
Externí odkaz:
http://arxiv.org/abs/2403.17895
Autor:
Knizel, Alisa, Matetski, Konstantin
We prove that the semigroup generated by the open KPZ equation on a bounded spatial interval with Neumann boundary conditions parametrized by real parameters u and v enjoys the strong Feller property. From this we conclude that for u+v>0, min(u,v)>-1
Externí odkaz:
http://arxiv.org/abs/2211.04466
Autor:
Dimitrov, Evgeni, Knizel, Alisa
The goal of the paper is to introduce a new set of tools for the study of discrete and continuous $\beta$-corners processes. In the continuous setting, our work provides a multi-level extension of the loop equations (also called Schwinger-Dyson equat
Externí odkaz:
http://arxiv.org/abs/2108.07710
Autor:
Corwin, Ivan, Knizel, Alisa
We provide the first construction of stationary measures for the open KPZ equation on the spatial interval $[0,1]$ with general inhomogeneous Neumann boundary conditions at $0$ and $1$ depending on real parameters $u$ and $v$, respectively. When $u+v
Externí odkaz:
http://arxiv.org/abs/2103.12253
Autor:
Dimitrov, Evgeni, Knizel, Alisa
Publikováno v:
Prob. Math. Phys. 3 (2022) 247-342
We introduce and study a class of discrete particle ensembles that naturally arise in connection with classical random matrix ensembles, log-gases and Jack polynomials. Under technical assumptions on a general analytic potential we prove that the glo
Externí odkaz:
http://arxiv.org/abs/1905.02338
Autor:
Dzhamay, Anton, Knizel, Alisa
The goal of this paper is to investigate the missing part of the story about the relationship between the orthogonal polynomial ensembles and Painlev\'e equations. Namely, we consider the $q$-Racah polynomial ensemble and show that the one-interval g
Externí odkaz:
http://arxiv.org/abs/1903.06159
We investigate a rich new class of exactly solvable particle systems generalizing the Totally Asymmetric Simple Exclusion Process (TASEP). Our particle systems can be thought of as new exactly solvable examples of tandem queues, directed first- or la
Externí odkaz:
http://arxiv.org/abs/1808.09855
Autor:
Dimitrov, Evgeni, Knizel, Alisa
We study a general class of log-gas ensembles on (shifted) quadratic lattices. We prove that the corresponding empirical measures satisfy a law of large numbers and that their global fluctuations are Gaussian with a universal covariance. We apply our
Externí odkaz:
http://arxiv.org/abs/1710.01709
Autor:
Bufetov, Alexey, Knizel, Alisa
We consider asymtotics of a domino tiling model on a class of domains which we call rectangular Aztec diamonds. We prove the Law of Large Numbers for the corresponding height functions and provide explicit formulas for the limit. For a special class
Externí odkaz:
http://arxiv.org/abs/1604.01491
Autor:
Dimitrov, Evgeni, Knizel, Alisa
Publikováno v:
Selecta Mathematica, New Series; Feb2025, Vol. 31 Issue 1, p1-68, 68p
