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Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
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612-822-4611
Coin-Turning, Random Walks and Inhomogeneous Markov Chains

Coin-Turning, Random Walks and Inhomogeneous Markov Chains

Hardcover

Probability & Statistics

ISBN10: 9811293120
ISBN13: 9789811293122
Publisher: World Scientific Publishing Company
Published: Dec 2 2024
Pages: 300
Weight: 1.25
Height: 0.69 Width: 6.00 Depth: 9.00
Language: English

This research monograph explores new frontiers in Markov chains. Although time-homogeneous Markov chains are well understood, this is not at all the case with time-inhomogeneous ones. The book, after a review on the classical theory of homogeneous chains, including the electrical network approach, introduces several new models which involve inhomogeneous chains as well as related new types of random walks (for example, coin turning, conservative and Rademacher walk). Scaling limits, the breakdown of the classical limit theorems as well as recurrence and transience are investigated. The relationship with urn models is the subject of two chapters, providing additional connections to other parts of probability theory.

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