Linear dynamical systems with stochastic linear part

• Grant number: 24/23739-6
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: June 01, 2025
• End date: May 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Benito Frazao Pires
• Grantee: Ricardo Victório Cury
• Host Institution: Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil

Abstract

Optimization of many variable functions is an extremely important topic that penetrates several areas of Pure and Applied Mathematics. The simplest functions that can be optimized throughout Rn are quadratic functions. Many Physics and Engineering problems can be placed in this context. In fact, one of the fundamental principles of mechanics is that nature acts to minimize some function. This project was designed to be developed by a student in his second year of graduation.