Nielsen Theory and Dynamical Systems
by Alexander Felshtyn (9789810241506)

Nielsen Theory and Dynamical Systems
 

Alexander Felshtyn


Release Date: 01 January 2001
Format: Hardcover
Pages: 200
Category: Mathematical Analysis
Publisher: Imperial College Press
ISBN: 9789810241506
ISBN-10: 981024150X



This book deals with the study of new dynamical zeta functions connected with Nielsen fixed point theory. The study of dynamical zeta functions is part of the theory of dynamical systems, but it is also intimately related to algebraic geometry, number theory, topology and statistical mechanics. The book consists of four parts. Part I present a brief account of Nielsen fixed point theory. Part II deals with dynamical zeta functions connected with Nielsen fixed point theory. Part III is concerned with an analog of Dold congruences for the Reidemeister and Nielsen numbers. Part IV explains how dynamical zeta functions give rise to Reidemeister torsion, a very important topological invariant which has useful applications in knots theory, quantum field theory and dynamical systems.

AUD $133.95

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