28 citations · 47 across the 10 of their papers we have counts for
12 papers
Random Lozenge Waterfall: Dimensional Collapse of Gibbs Measures
Alisa Knizel, Leonid Petrov
We investigate the asymptotic behavior of the q-Racah probability measure on lozenge tilings of a hexagon whose side lengths scale linearly with a large parameter , while the pa…
Global asymptotics for -Krawtchouk corners processes via multi-level loop equations
Evgeni Dimitrov, Alisa Knizel
We introduce a two-parameter family of probability distributions, indexed by and , that are called -Krawtchouk corners processes. These m…
The strong Feller property of the open KPZ equation
Alisa Knizel, Konstantin Matetski
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 str…
Multi-level loop equations for -corners processes
Evgeni Dimitrov, Alisa Knizel
The goal of the paper is to introduce a new set of tools for the study of discrete and continuous -corners processes. In the continuous setting, our work provides a multi-level…
Stationary measure for the open KPZ equation
Ivan Corwin, Alisa Knizel
We provide the first construction of stationary measures for the open KPZ equation on the spatial interval with general inhomogeneous Neumann boundary conditions at and…
Asymptotics of discrete -corners processes via two-level discrete loop equations
Evgeni Dimitrov, Alisa Knizel
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 techn…
-Racah ensemble and -P discrete Painlevé equation
Anton Dzhamay, Alisa Knizel
The goal of this paper is to investigate the missing part of the story about the relationship between the orthogonal polynomial ensembles and Painlevé equations. Namely, we conside…
Generalizations of TASEP in discrete and continuous inhomogeneous space
Alisa Knizel, Leonid Petrov, Axel Saenz
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…
Log-gases on a quadratic lattice via discrete loop equations and q-boxed plane partitions
Evgeni Dimitrov, Alisa Knizel
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 glob…
Asymptotics of random domino tilings of rectangular Aztec diamonds
Alexey Bufetov, Alisa Knizel
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 funct…
Moduli spaces of q-connections and gap probabilities
Alisa Knizel
Our goal is to show that the one-interval gap probability for the q-Hahn orthogonal polynomial ensemble can be expressed through a solution of the asymmetric q-Painleve V equation.…
Algebraic analogue of Atiyah's theorem
Alisa Knizel, Alexander Neshitov
In topology there is a theorem of Atiyah, concerning K-theory of classifying space of connected compact Lie group. We consider an algebraic analogue of this theorem. We prove that…