Random particle systems and Schur processes

• Grant number: 20/16783-8
• Support Opportunities: Scholarships in Brazil - Master
• Start date: March 01, 2021
• End date: February 28, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Guilherme Lima Ferreira da Silva
• Grantee: Victor Guerreiro Vendruscollo
• 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

Abstract

Recently, a wide variety of different results in fluctuations of random particle systems has been discovered, unraveling striking connections, until not so long ago undreamed of, between seemingly different models in statistical mechanics. Such results are only possible in virtue of the development of methods from representation theory applied to probability, in what is now known by the name of integrable probability. The main goal of this proposal is to study one of the central objects in this theory, the Schur processes, and how they can be applied in the analysis of some classical particle systems as the TASEP. (AU)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

VENDRUSCOLLO, Victor Guerreiro. Random particle systems and Schur processes. 2023. Master's Dissertation - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.