Year: 2024
Type: article
Abstract: The goal of the paper is to introduce a new set of tools for the study of discrete and continuous $$\beta $$ β -corners processes. In the continuous setting, our work provides a multi-level extension of the loop equations (also called Schwinger–Dyson equations) for $$\beta $$ β -log gases obtained by Borot and Guionnet in (Commun. Math. Phys. 317, 447–483, 2013). In the discrete setting, our work provides a multi-level extension of the loop equations (also called Nekrasov equations) for discrete $$\beta $$ β -ensembles obtained by Borodin, Gorin and Guionnet in (Publications mathématiques de l’IHÉS 125, 1–78, 2017).
Source: Selecta Mathematica
Authors: Evgeni Dimitrov, Alisa Knizel
Institutions: University of Southern California, Barnard College
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
OpenAlex ID: W3194847858