| Full text | |
| Author(s): |
Ghosal, Promit
;
Silva, Guilherme L. F.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Communications in Mathematical Physics; v. 397, n. 3, p. 71-pg., 2022-11-10. |
| Abstract | |
We study multiplicative statistics for the eigenvalues of unitarily-invariant Hermitian random matrix models. We consider one-cut regular polynomial potentials and a large class of multiplicative statistics. We show that in the large matrix limit several associated quantities converge to limits which are universal in both the polynomial potential and the family of multiplicative statistics considered. In turn, such universal limits are described by the integro-differential Painleve II equation, and in particular they connect the random matrix models considered with the narrow wedge solution to the KPZ equation at any finite time. (AU) | |
| FAPESP's process: | 20/02506-2 - Asymptotic analysis of interacting particle systems and random matrix theory |
| Grantee: | Guilherme Lima Ferreira da Silva |
| Support Opportunities: | Scholarships in Brazil - Young Researchers |
| FAPESP's process: | 19/16062-1 - Asymptotic analysis of interacting particle systems and random matrix theory |
| Grantee: | Guilherme Lima Ferreira da Silva |
| Support Opportunities: | Research Grants - Young Investigators Grants |