Title: Two-Dimensional Random Walk From Path Counting to Random Interlacements
Publisher: Cambridge University Press
Publication Date: 2021
Language: English
ISBN 10: 1108459692
ISBN 13: 9781108459693
Binding: Softcover
Condition: Good

About this title

Synopsis

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.

"About this title" may belong to another edition of this title.

Store Description

Friends of the Multnomah County Library (FOL) advocates for and supports our outstanding public library. We provide supplemental funding for library programs and services, and sponsor activities which engage people who value our library. One of the main fundraising activities of our 501(c)(3) nonprofit organization is the sale of donated books, and since our founding in 1972, Friends of the Library has contributed hundreds of thousands of dollars to support our libraries via such sales.

Visit Seller's Storefront

Seller's business information

Friends of the Multnomah County Library
1020 SW Taylor St., Suite 439, Portland, OR, 97205-2509, U.S.A.

Sale & Shipping Terms

Terms of Sale

Our returns and refund policies adhere to Abebooks standard policies. We take great care in describing the condition of our books and packaging them securely. We want you to be completely happy with your purchase, and would appreciate any feedback you have to offer.

Shipping Terms

For orders in the USA we charge $4.99 shipping for the first book, $1.00 for each additional book; books are sent via USPS Media Mail. We package securely. Priority Mail orders are $19.99 for the first book, $5.00 for each additional book. Larger and heavier books or sets, especially those being sent outside the USA, may require an extra shipping charge. We will try to contact you if there is an extra charge for heavier books.