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

ISBN-13: 9781108472456 / Angielski / Twarda / 2021 / 200 str.

Serguei Popov

Opis

A visual, intuitive introduction in the form of a tour with side-quests, using direct probabilistic insight rather than technical tools.

Recenzje

'… a well-written summary of the subject … Highly recommended.' M. Bona, Choice Connect

Spis treści

1. Introduction; 2. Recurrence of Two-Dimensional SRW; 3. Some Potential Theory for Simple Random Walks; 4. SRW Conditioned on not Hitting the Origin; 5. Intermezzo: Soft Local Times and Poisson Processes of Objects; 6. Random Interlacements.