Action and Interaction: on the controllability of certain financial, social, and physical systems

• Ano de defesa: 2024
• Autor(a) principal: Thamsten, Yuri
• Tipo de documento: Tese
• Tipo de acesso: Acesso aberto
• Idioma: eng
• Palavras-chave em Português: Control Theory; Stochastic Analysis; Partial Differential Equations; Numerical Analysis; Equação diferencial parcial; Análise funcional não-linear; Teoria de Controle; Análise Estocástica; Equações Diferenciais Parciais; Análise Numérica
• Link de acesso: https://app.uff.br/riuff/handle/1/33026

This thesis consists of contributions to the controllability of certain financial, social, and physical systems. The models widely vary amidst the problems we consider; some are stochas tic, other deterministic. Furthermore, we approach distinct problems using a large set of tools, ranging from calculus of variations, to dynamic programming, to nonlinear functional-analytic arguments. As a proper work in applied mathematics, we proceed with the conscientiousness that each body of theoretical advances is to be accompanied with corresponding numerical experiments.