by Kai Lai Chung (Stanford University, USA)

This book begins with a historical essay entitled “Will the Sun Rise Again?” and ends with a general address entitled “Mathematics and Applications”. The articles cover an interesting range of topics: combinatoric probabilities, classical limit theorems, Markov chains and processes, potential theory, Brownian motion, Schrödinger–Feynman problems, etc. They include many addresses presented at international conferences and special seminars, as well as memorials to and reminiscences of prominent contemporary mathematicians and reviews of their works. Rare old photos of many of them enliven the book.

• On Mutually Favorable Events
• On Fluctuations in Coin-Tossing
• On a Stochastic Approximation Method
• On the Martin Boundary for Markov Chains
• A Cluster of Great Formulas
• Probabilistic Methods in Markov Chains
• Markov Processes with Infinities
• Probability Methods in Potential Theory
• Pólya's Work in Probability
• Probability and Doob
• In Memory of Lévy and Fréchet
• and other papers