Item description for Dynamical Zeta Functions, Nielsen Theory and Reidemeister Torsion by Alexander Fel'Shtyn...
In this paper, we study 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 paper consists of four parts. Part I presents a brief account of the Nielsen fixed point theory. Part II deals with dynamical zeta functions connected with Nielsen fixed point theory. Part III is concerned with analog of Dold congruences for the Reidemeister and Nielsen numbers. In Part IV, we explain how dynamical zeta functions give rise to the Reidemeister torsion, a very important topological invariant which has useful applications in knots theory, quantum field theory and dynamical systems.
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Studio: Imperial College Press
Release Date Jun 15, 2002
Publisher Imperial College Press
ISBN 981024150X ISBN13 9789810241506