Cellular Automata and Groups

Ceccherini-Silberstein, Tullio, Coornaert, Michel

Cellular Automata and Groups
  • 出版商: Springer
  • 出版日期: 2024-01-14
  • 售價: $3,670
  • 貴賓價: 9.5 折 $3,487
  • 語言: 英文
  • 頁數: 556
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3031433270
  • ISBN-13: 9783031433276

    • 海外代購書籍(需單獨結帳)

相關主題

商品描述

This unique book provides a self-contained exposition of the theory of cellular automata on groups and explores its deep connections with recent developments in geometric and combinatorial group theory, amenability, symbolic dynamics, the algebraic theory of group rings, and other branches of mathematics and theoretical computer science. The topics treated include the Garden of Eden theorem for amenable groups, the Gromov-Weiss surjunctivity theorem, and the solution of the Kaplansky conjecture on the stable finiteness of group rings for sofic groups.

Entirely self-contained and now in its second edition, the volume includes 10 appendices and more than 600 exercises, the solutions of which are presented in the companion book Exercises in Cellular Automata and Groups (2023) by the same authors. It will appeal to a large audience, including specialists and newcomers to the field.

商品描述(中文翻譯)

這本獨特的書提供了對於群組上的細胞自動機理論的自成體系的闡述，並探索了它與幾何和組合群論、可接受性、符號動力學、群環的代數理論以及其他數學和理論計算機科學的最新發展之間的深刻聯繫。所討論的主題包括可接受群的伊甸園定理、Gromov-Weiss的surjunctivity定理，以及對於sofic群的群環穩定有限性的Kaplansky猜想的解答。

這本完全自成體系的第二版書籍包含10個附錄和600多個練習題，其解答則收錄在同一作者的配套書籍《細胞自動機與群組練習》（2023年）中。這本書將吸引廣大讀者，包括專家和新手。

作者簡介

Tullio Ceccherini-Silberstein graduated from the University of Rome La Sapienza in 1990 and obtained his PhD in mathematics from the University of California at Los Angeles in 1994. Since 1997 he has taught at the University of Sannio, Benevento (Italy). His main interests include harmonic and functional analysis, geometric and combinatorial group theory, ergodic theory and dynamical systems, and theoretical computer science. He is an editor of the journal Groups, Geometry, and Dynamics, published by the European Mathematical Society. He has published more than 90 research papers, 9 monographs, and 4 conference proceedings.

Professor Michel Coornaert taught mathematics at the University of Strasbourg from 1992 until 2021. His research interests are in geometry, topology, group theory and dynamical systems. He is the author of many Springer volumes, including Topological Dimension and Dynamical Systems (2015), Cellular Automata and Groups (2010), Symbolic Dynamics and Hyperbolic Groups (1993) and Géométrie et théorie des groupes (1990).

作者簡介(中文翻譯)

Tullio Ceccherini-Silberstein於1990年畢業於羅馬拉斯佩齊亞大學，並於1994年獲得加州大學洛杉磯分校的數學博士學位。自1997年起，他在意大利貝內文托的桑尼奧大學任教。他的主要研究興趣包括和函數分析、幾何和組合群論、遞歸理論和動力系統以及理論計算機科學。他是歐洲數學學會出版的期刊《群、幾何和動力學》的編輯。他發表了90多篇研究論文、9本專著和4個會議論文集。

Michel Coornaert教授從1992年至2021年在斯特拉斯堡大學教授數學。他的研究興趣涉及幾何、拓撲、群論和動力系統。他是許多Springer出版的著作的作者，包括《拓撲維度和動力系統》（2015年）、《細胞自動機和群》（2010年）、《符號動力學和雙曲群》（1993年）和《幾何和群論》（1990年）。

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