Spectral structure of transfer operators for expanding circle maps
From MaRDI portal
Publication:501535
DOI10.1016/j.anihpc.2015.08.004zbMath1377.37035arXiv1311.3122OpenAlexW1730162945MaRDI QIDQ501535
Oscar F. Bandtlow, Julia Slipantschuk, Wolfram Just
Publication date: 9 January 2017
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.3122
Dynamical systems involving maps of the circle (37E10) Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)
Related Items
The work of Sébastien Gouëzel on limit theorems and on weighted Banach spaces, Generic non-trivial resonances for Anosov diffeomorphisms, Dynamic mode decomposition for analytic maps, Sinai billiard maps with Ruelle resonances, Lower bounds for the Ruelle spectrum of analytic expanding circle maps, Spectrum of the Koopman operator, spectral expansions in functional spaces, and state-space geometry, Stability and collapse of the Lyapunov spectrum for Perron-Frobenius operator cocycles, Complete spectral data for analytic Anosov maps of the torus, Transfer operators for ultradifferentiable expanding maps of the circle, Locating Ruelle–Pollicott resonances*
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Resolvent estimates for operators belonging to exponential classes
- Invariant subspaces of \({\mathcal H}^ p\) for multiply connected regions
- A Ruelle operator for a real Julia set
- Zeta-functions for expanding maps and Anosov flows
- Composition operators and classical function theory
- Ruelle operators with rational weights for Julia sets
- Dynamical determinants via dynamical conjugacies for postcritically finite polynomials
- Explicit eigenvalue estimates for transfer operators acting on spaces of holomorphic functions
- On the Ruelle eigenvalue sequence
- The zeta functions of Ruelle and Selberg. I
- On Finite Blaschke Products whose Restrictions to the unit circle are Exact Endomorphisms
- The correlation spectrum for hyperbolic analytic maps
- On Mayer's conjecture and zeros of entire functions
- Eigenfunctions for smooth expanding circle maps
- Blaschke products and expanding maps of the circle
- Coupled maps and analytic function spaces
- The 𝐻^{𝑝} spaces of an annulus
- Analytic expanding circle maps with explicit spectra
- Expanding maps of the circle rerevisited: positive Lyapunov exponents in a rich family