|
|||||
 |
|
|
|
|
|
|
Asymptotics of discrete
$\beta$-corners processes via two-level discrete loop
equations
Evgeni Dimitrov and Alisa Knizel |
|
Vol. 3 (2022), No. 2, 247–342
|
Abstract |
|
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 technical assumptions on a general analytic potential we prove that the global fluctuations of these ensembles are asymptotically Gaussian with a universal covariance that remarkably differs from its counterpart in random matrix theory. Our main tools are certain novel algebraic identities that we have discovered. They play a role of discrete multilevel analogues of loop equations. |
PDF Access Denied
We have not been able to recognize your IP address
18.97.14.85
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
loop equations, log-gases, corners process
|
Mathematical Subject Classification
Primary: 82C41
Secondary: 33D45, 52C20
|
Milestones
Received: 30 August 2020
Revised: 10 January 2022
Accepted: 15 February 2022
Published: 8 July 2022
|
Authors |
| Evgeni Dimitrov | |
| Department of Mathematics Columbia University New York, NY United States |
|
| Alisa Knizel | |
| Department of Statistics University of Chicago Chicago, IL United States |
|
