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

by Serguei Popov

Book Overview

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...

• Format: Paperback
• Language: English
• ISBN: 1108459692
• ISBN13: 9781108459693
• Release Date: March 2021
• Publisher: Cambridge University Press
• Length: 200 Pages
• Weight: 0.67 lbs.
• Dimensions: 0.5" x 6.0" x 9.0"