Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps A Functional Approach /

• Κύριος συγγραφέας: Baladi, Viviane (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 68
• Θέματα: Dynamics.; Ergodic theory.; Functional analysis.; Operator theory.; Dynamical Systems and Ergodic Theory.; Functional Analysis.; Operator Theory.

The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach spaces, contain key information about the ergodic properties of the systems. Focusing on expanding and hyperbolic maps, this book gives a self-contained account on the relation between zeroes of dynamic...

Πίνακας περιεχομένων:

• 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.