Alisa Knizel

collaborators

3 papers

math.PR2025

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 $L$ , while the pa…

math.PR2024

Multi-level loop equations for $I^^{2}$ -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 $I^^{2}$ -corners processes. In the continuous setting, our work provides a multi-level…

math.PR2024

Global asymptotics for $I^^{2}$ -Krawtchouk corners processes via multi-level loop equations

Evgeni Dimitrov, Alisa Knizel

We introduce a two-parameter family of probability distributions, indexed by $I^^{2} /2 = I^¸ > 0$ and $K \in Z_{\geq 0}$ , that are called $I^^{2}$ -Krawtchouk corners processes. Thes…

Random Lozenge Waterfall: Dimensional Collapse of Gibbs Measures

Multi-level loop equations for I^2-corners processes

Global asymptotics for I^2-Krawtchouk corners processes via multi-level loop equations

Multi-level loop equations for $I^^{2}$ -corners processes

Global asymptotics for $I^^{2}$ -Krawtchouk corners processes via multi-level loop equations