Asymptotic analysis of interacting particle systems and random matrix theory

• Grant number: 20/02506-2
• Support Opportunities: Scholarships in Brazil - Young Researchers
• Start date: March 01, 2020
• End date: September 14, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Guilherme Lima Ferreira da Silva
• Grantee: Guilherme Lima Ferreira da Silva
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 19/16062-1 - Asymptotic analysis of interacting particle systems and random matrix theory, AP.JP

Scientific publications

(6)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

MARTINEZ-FINKELSHTEIN, ANDREI; SILVA, GUILHERME L. F.. Spectral Curves, Variational Problems and the Hermitian Matrix Model with External Source. Communications in Mathematical Physics, FEB 2021. (20/02506-2, 19/16062-1)

SILVA, GUILHERME L. F.; ZHANG, LUN. Large n Limit for the Product of Two Coupled Random Matrices. Communications in Mathematical Physics, v. 377, n. 3, JUN 2020. (19/16062-1, 20/02506-2)

MARTINEZ-FINKELSHTEIN, ANDREI; SILVA, GUILHERME L. F.. Spectral Curves, Variational Problems and the Hermitian Matrix Model with External Source. Communications in Mathematical Physics, v. 383, n. 3, p. 80-pg., 2021-02-09. (20/02506-2, 19/16062-1)

GHOSAL, PROMIT; SILVA, GUILHERME L. F.. Universality for Multiplicative Statistics of Hermitian Random Matrices and the Integro-Differential Painleve II Equation. Communications in Mathematical Physics, v. 397, n. 3, p. 71-pg., 2022-11-10. (20/02506-2, 19/16062-1)

CELSUS, ANDREW F.; SILVA, GUILHERME L. F.. Supercritical regime for the Kissing polynomials (vol 255, 105408, 2020). Journal of Approximation Theory, v. 257, p. 3-pg., 2020-09-01. (19/16062-1, 20/02506-2)

BAIK, JINHO; PROKHOROV, ANDREI; SILVA, GUILHERME L. F.. Differential Equations for the KPZ and Periodic KPZ Fixed Points. Communications in Mathematical Physics, v. 401, n. 2, p. 54-pg., 2023-04-13. (19/16062-1, 20/02506-2)