: While it aims to be self-contained, it frequently refers to Chung’s other classic, A Course in Probability Theory , for discrete-parameter martingale foundations.
: Ideal for those transitioning from basic probability to research-level stochastic processes. Lectures from Markov Processes to Brownian Motion
: Explores the connection between martingales and Markov processes, Feller processes, and the strong Markov property. : While it aims to be self-contained, it
: Chung is known for an "explanatory rather than dogmatic" style, prioritizing clarity over dense formalism. A Course in Probability Theory
If you are looking for a specific chapter summary or need a comparison between the first and second editions, let me know! If you want to dive deeper into this book:
: Focuses on spatial homogeneity and the specific sample path properties of Brownian motion.