: Discusses the analytical side of the theory, including the relationship between probability and potential theory. Key Features & Style 💡
: Focuses on spatial homogeneity and the specific sample path properties of Brownian motion. Lectures from Markov Processes to Brownian Motion
: Researchers in mathematical physics and analysis use it as a reference for Hunt processes and Brownian motion sample paths. : Discusses the analytical side of the theory,
: The 2005 version adds 10 new chapters by John Walsh, focusing on Ray processes , time reversal , and duality . : The 2005 version adds 10 new chapters
The book originates from lecture notes for a course at ETH Zürich and aims to teach advanced Markov processes and Brownian motion with a . It bridges the gap between basic probability and the complex "general theory" of stochastic processes. Core Structure The original text is divided into five primary sections: