Aplicações do cálculo estocástico à análise complexa

Medeiros, Rogério de Assis

doi:10.11606/D.45.2012.tde-17052012-181529

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Master's Dissertation

DOI

https://doi.org/10.11606/D.45.2012.tde-17052012-181529

Document

Master's Dissertation

Author

Medeiros, Rogério de Assis (Catálogo USP)

Full name

Rogério de Assis Medeiros

E-mail

Institute/School/College

Instituto de Matemática e Estatística

Knowledge Area

Applied Mathematics

Date of Defense

2012-03-05

Published

São Paulo, 2012

Supervisor

Faria, Edson de (Catálogo USP)

Committee

Faria, Edson de (President)
Alfonso, Nestor Felipe Caticha
Simonis, Adilson

Title in Portuguese

Aplicações do cálculo estocástico à análise complexa

Keywords in Portuguese

Análise Complexa
Fórmula de Itô
Integral Estocástica
Movimento Browniano
Teorema de Lévy

Abstract in Portuguese

Nesta dissertação desenvolvemos o Cálculo Estocástico para provar teoremas clássicos de Análise Complexa, em particular, o pequeno teorema de Picard.

Title in English

Applications of Stochastic Calculus to Complex Analysis

Keywords in English

Brownian Motion
Complex Analysis
Ito's Formula
Lévy's Theorem
Stochastic Integral

Abstract in English

In this dissertation we develop the Stochastic Calculus for to prove classical theorems in Complex Analysis, in particular, the little Picard's theorem.

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Publishing Date

2012-05-22

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