Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps

Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps

A Functional Approach

Springer Nature Switzerland AG

02/2019

291

Mole

Inglês

9783030085056

15 a 20 dias

Descrição não disponível.
1 Introduction.- Part I Smooth expanding maps.- 2 Smooth expanding maps: The spectrum of the transfer operator.- 3 Smooth expanding maps: Dynamical determinants.- Part II Smooth hyperbolic maps.- 4 Anisotropic Banach spaces dened via cones.- 5 A variational formula for the essential spectral radius.- 6 Dynamical determinants for smooth hyperbolic dynamics.- 7 Two applications of anisotropic spaces.- Part III Appendices.- A Spectral theory.- B Thermodynamic formalism: Non-multiplicative topological pressure.- C Properly supported operators (pseudolocality).- D Alternative proofs for C1 dynamics and weights.- References.- Index.
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