Dynamical zeta functions and dynamical determinants for hyperbolic maps : a functional approach
保存先:
| 第一著者: | |
|---|---|
| フォーマット: | Livre papier |
| 言語: | Anglais |
| 出版事項: |
Cham :
Springer
C 2018.
|
| シリーズ: | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
68 |
| 主題: | |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps, A Functional Approach, by Viviane Baladi, 1st ed. 2018., Cham, Springer International Publishing, 2018, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3, 978-3-319-77661-3 |
目次:
- 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.