This book contains a systematic treatment of probability from the ground up, starting with intuitive ideas and gradually developing more sophisticated subjects, such as random walks, martingales, Markov chains, ergodic theory, weak convergence of probability measures, stationary stochastic processes[...]

Covers a connection between optimal stopping and free-boundary problems. This book uses minimal tools and focuses on key examples. It exposes the general theory of optimal stopping, at its basic principles in both discrete and continuous time. It is useful for graduate and postgraduate students, res[...]