Structure and \(f\)-dependence of the a.c.i.m. for a unimodal map \(f\) of Misiurewicz type
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Publication:5962364
DOI10.1007/s00220-008-0637-8zbMath1202.37008arXiv0710.2015OpenAlexW2089214587MaRDI QIDQ5962364
Publication date: 22 September 2010
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0710.2015
Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems involving maps of the interval (37E05)
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Cites Work
- Unnamed Item
- The dynamics of the Hénon map
- Nonuniformly expanding 1D maps
- Differentiability and analyticity of topological entropy for Anosov and geodesic flows
- Zeta functions and transfer operators for piecewise monotone transformations
- On the susceptibility function of piecewise expanding interval maps
- On iterations of \(1-\alpha x^2\) on \((-1,1)\)
- Absolutely continuous measures for certain maps of an interval
- Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
- Decay of correlations for certain quadratic maps
- Spectral theory, zeta functions and the distribution of periodic points for Collet-Eckmann maps
- Regularity and other properties of absolutely continuous invariant measures for the quadratic family
- Differentiation of SRB states
- What are SRB measures, and which dynamical systems have them?
- Regular or stochastic dynamics in real analytic families of unimodal maps
- On differentiability of SRB states for partially hyperbolic systems
- On continuity of Bowen-Ruelle-Sinai measures in families of one dimensional maps
- Smooth Anosov flows: Correlation spectra and stability
- Differentiating the absolutely continuous invariant measure of an interval map \(f\) with respect to \(f\)
- Positive Liapunov exponents and absolute continuity for maps of the interval
- The Perron-Frobenius operator in spaces of smooth functions on an interval
- Integrability of hamiltonian systems on cantor sets
- Absolutely continuous invariant measures and random perturbations for certain one-dimensional maps
- Continuity of SRB measure and entropy for Benedicks–Carleson quadratic maps
- Analytic Extensions of Differentiable Functions Defined in Closed Sets
- Application of hyperbolic dynamics to physics: Some problems and conjectures
- Differentiation of SRB states for hyperbolic flows
- Does the complex susceptibility of the Hénon map have a pole in the upper-half plane? A numerical investigation
- Linear response formula for piecewise expanding unimodal maps
- Analyticity of the susceptibility function for unimodal Markovian maps of the interval
