Classical and Spatial Stochastic Processes

Targeting upper undergraduate and graduate students, this text on stochastic processes covers both classical and spatial models, requiring only a background in calculus and basic probability. It begins with discrete Markov chains, introducing modern techniques like coupling, and progresses to continuous time Markov chains. The second half uniquely focuses on spatial processes, which are often complex and less accessible in other texts. By exploring models such as percolation and branching random walks, it emphasizes elementary analytical methods, making it suitable for diverse fields like biology and engineering.