Name: Two-Dimensional Random Walk: From Path Counting to Random Interlacements (Institute of Mathematical Statistics Textbooks) (en Inglés)
SKU: 53429631
Price: 539601.00 COP
Availability: InStock
Author: Popov, Serguei
ISBN: 9781108472456

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

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

Formato

Libro Físico

Autor

Serguei Popov

Editorial

Cambridge University Press

Año

2021

Idioma

Inglés

N° páginas

224

Encuadernación

Tapa Dura

Dimensiones

22.9x15.2x1.4 cm

Peso

0.47 kg.

ISBN13

9781108472456

Categorías

Probabilidad y estadística

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

Serguei Popov (Autor) · Cambridge University Press · Tapa Dura

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Reseña del libro "Two-Dimensional Random Walk: From Path Counting to Random Interlacements (Institute of Mathematical Statistics Textbooks) (en Inglés)"

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.