Hardcover. Condition: new. Hardcover. 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. This book revolves around two-dimensional simple random walk, a rich and fascinating mathematical object that is the point of departure for a tour of related topics at the active edge of research. Emphasizing direct probabilistic intuition - with many illustrations - it is a highly readable introduction for graduate students and researchers. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9781108472456

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Two-Dimensional Random Walk: From Path Counting to Random Interlacements

Serguei Popov

Published by Cambridge University Press, 2021

ISBN 10: 1108472451 ISBN 13: 9781108472456

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Hardcover. Condition: Brand New. 209 pages. 9.00x6.00x0.75 inches. In Stock. Seller Inventory # x-1108472451

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Two-Dimensional Random Walk: From Path Counting to Random Interlacements (Institute of Mathematical Statistics Textbooks)

Popov, Serguei

Published by Cambridge University Press, 2021

ISBN 10: 1108472451 ISBN 13: 9781108472456

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Two-Dimensional Random Walk: From Path Counting to Random Interlacements

Popov, Serguei

Published by CAMBRIDGE, 2021

ISBN 10: 1108472451 ISBN 13: 9781108472456

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Seller: moluna, Greven, Germany

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Condition: New. This book revolves around two-dimensional simple random walk, a rich and fascinating mathematical object that is the point of departure for a tour of related topics at the active edge of research. Emphasizing direct probabilistic intuition - with many illus. Seller Inventory # 373571244

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