Two-Dimensional Random Walk
Language: English
Published by Cambridge University Press Mär 2021, 2021
Series: Book 12 of 15 - Institute of Mathematical Statistics Textbooks
- Hardcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 195.39
Quantity: 2 available
Add to basketItem description from seller
Neuware - The main subject of this introductory book is simple random walk on the integer lattice, with special attention to the two-dimensional case. This fascinating mathematical object is the point of departure for an intuitive and richly illustrated tour of related topics at the active edge of research. It starts with three different proofs of the recurrence of the two-dimensional walk, via direct combinatorial arguments, electrical networks, and Lyapunov functions. After reviewing some relevant potential-theoretic tools, the reader is guided toward the relatively new topic of random interlacements - which can be viewed as a 'canonical soup' of nearest-neighbour loops through infinity - again with emphasis on two dimensions. On the way, readers will visit conditioned simple random walks - which are the 'noodles' in the soup - and also discover how Poisson processes of infinite objects are constructed and review the recently introduced method of soft local times. Each chapter ends with many exercises, making it suitable for courses and independent study.…
Seller Inventory # 9781108472456
- Title
- Two-Dimensional Random Walk
- Author
- Serguei Popov
- Publisher
- Cambridge University Press Mär 2021
- Publication year
- 2021
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 1108472451
- ISBN 13
- 9781108472456
- Item weight
- 467 grams
- Dimensions
- 229x152x14 mm
- Series
- Book 12 of 15: Institute of Mathematical Statistics Textbooks
"Synopsis" may belong to another edition of this title.
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