Titlebook: Understanding Markov Chains; Examples and Applica Nicolas Privault Textbook 2018Latest edition Springer Nature Singapore Pte Ltd. 2018 Appl

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Spatial Poisson Processes,se . is the real half line, these random points can be identified with the jump times . of the standard Poisson process . introduced in Sect.?.. However, in contrast with the previous chapter, no time ordering is a priori imposed here on the index set ..

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1615-2085 umerous exercises to test students‘ understanding of key con.This book provides an undergraduate-level introduction to discrete and continuous-time Markov chains and their applications, with a particular focus on the first step analysis technique and its applications to average hitting?times and rui

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Gambling Problems,te state space .. This allows us in particular to have a first look at the technique of first step analysis that will be repeatedly used in the general framework of Markov chains, particularly in Chap.?..

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Classification of States,e also examine the notions of positive and null recurrence, periodicity, and aperiodicity of such chains. Those topics will be important when analysing the long-run behavior of Markov chains in the next chapter.