£43.02

Springer - Random Walks on Infinite Groups: 297 (GTM 297)

Name: Springer - Random Walks on Infinite Groups: 297 (GTM 297)
Brand: Springer
Price: 43.02 GBP
Availability: InStock

Algebra

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Description

Random Walks on Infinite Groups (Graduate Texts in Mathematics, 297) provides a comprehensive look at the basic theory of random walks on infinite, finitely generated groups. This Springer publication bridges the gap between group theory and measure-theoretic probability, making it an essential resource for advanced mathematical study. The text explores how specific structural features of a group, such as amenability or nonamenability, influence the qualitative aspects of symmetric random walks. Readers will examine key concepts including transience, recurrence, speed, entropy, and the existence or nonexistence of nonconstant, bounded harmonic functions. Designed for clarity and depth, this book serves as an effective textbook for beginning graduate-level courses. It is also a valuable resource for graduate students and advanced undergraduates pursuing independent study in algebra and probability. Whether used in a classroom setting or for self-directed research, this volume offers a structured approach to understanding the complex relationship between group structures and random walk behaviors.

Key Features

Covers the fundamental theory of random walks on infinite, finitely generated groups.

Includes necessary background material in measure-theoretic probability for a complete foundation.

Analyzes how group features like amenability and nonamenability affect symmetric random walks.

Explores technical aspects including transience, recurrence, speed, and entropy.

Investigates the existence or nonexistence of nonconstant, bounded harmonic functions.

Ideal for graduate-level textbooks or independent study for advanced undergraduates.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 3031256344
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 10 May 2024
Listed Since: 11 May 2024

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Springer - Random Walks on Infinite Groups: 297 (GTM 297)

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