29 citations · 66 across the 20 of their papers we have counts for
6 papers · 1 filter
Tightness of -Gibbsian line ensembles
Evgeni Dimitrov, Xuan Wu
We develop a black-box theory, which can be used to show that a sequence of Gibbsian line ensembles is tight, provided that the one-point marginals of the lowest labeled curves of…
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…
Maximal free energy of the log-gamma polymer
Guillaume Barraquand, Ivan Corwin, Evgeni Dimitrov
We prove a phase transition for the law of large numbers and fluctuations of , the maximum of the free energy of the log-gamma directed polymer with parameter , max…
Large deviations for discrete -ensembles
Sayan Das, Evgeni Dimitrov
We consider discrete -ensembles as introduced by Borodin, Gorin and Guionnet in (Publications math{\' e}matiques de l'IH{\' E}S 125, 1-78, 2017). Under general assumptions, we e…
Characterization of -Brownian Gibbsian line ensembles
Evgeni Dimitrov
In this paper we show that an -Brownian Gibbsian line ensemble is completely characterized by the finite-dimensional marginals of its lowest indexed curve for a large class of i…
Spatial tightness at the edge of Gibbsian line ensembles
Guillaume Barraquand, Ivan Corwin, Evgeni Dimitrov
Consider a sequence of Gibbsian line ensembles, whose lowest labeled curves (i.e., the edge) have tight one-point marginals. Then, given certain technical assumptions on the nature…