6 citations · 6 across the 4 of their papers we have counts for
4 papers · 1 filter
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…
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…