Distortion results and invariant Cantor sets of unimodal maps
From MaRDI portal
Publication:4300039
DOI10.1017/S0143385700007902zbMath0809.58026arXivmath/9211215MaRDI QIDQ4300039
Publication date: 8 September 1994
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9211215
Related Items
The topological complexity of Cantor attractors for unimodal interval maps, Statistical properties of topological Collet–Eckmann maps, The Lyapunov exponent of holomorphic maps, Real bounds, ergodicity and negative Schwarzian for multimodal maps, The dynamics of complex box mappings, Inducing, slopes, and conjugacy classes, Dynamics of quadratic polynomials: complex bounds for real maps, On the combinatorics of Fibonacci-like non-renormalizable maps, The attractor of Fibonacci-like renormalization operator, On the timescale at which statistical stability breaks down, Dynamics of quadratic polynomials. I, II, On the hyperbolicity of Lorenz renormalization, Invariant measures exist without a growth condition, Geometric pressure for multimodal maps of the interval, Expanding measures, Regular or stochastic dynamics in real analytic families of unimodal maps, Rates of mixing for non-Markov infinite measure semiflows, On cusps and flat tops, Physical measures for infinitely renormalizable Lorenz maps, Topological conditions for the existence of absorbing Cantor sets, Hausdorff dimension of Cantor attractors in one-dimensional dynamics, The full renormalization horseshoe for unimodal maps of higher degree: exponential contraction along hybrid classes, Decay of geometry for Fibonacci critical covering maps of the circle, Probabilistic universality in two-dimensional dynamics, Bifurcation of unimodal maps, Hausdorff dimension and conformal measures of Feigenbaum Julia sets, Renormalisation-induced phase transitions for unimodal maps, Chaotic period doubling, On the finiteness of attractors for one-dimensional maps with discontinuities, Local critical perturbations of unimodal maps, Existence of unique SRB-measures is typical for real unicritical polynomial families, The bifurcation set as a topological invariant for one-dimensional dynamics, Invariant measures for interval maps with different one-sided critical orders
Cites Work
- Limit sets of S-unimodal maps with zero entropy
- Distortion of S-unimodal maps
- On the concept of attractor
- Structure of Gauss maps
- Absolutely continuous measures for certain maps of an interval
- Julia-Fatou-Sullivan theory for real one-dimensional dynamics
- Measurable dynamics of $S$-unimodal maps of the interval
