Invariant subsets of expanding mappings of the circle
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Publication:3799383
DOI10.1017/S0143385700004247zbMath0653.58031MaRDI QIDQ3799383
Publication date: 1987
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Related Items (21)
Horseshoes for diffeomorphisms preserving hyperbolic measures ⋮ Unnamed Item ⋮ Dimension of self-affine sets with holes ⋮ On the Perron-Frobenius-ruelle operator for rational maps on the riemann sphere and for Hölder continuous functions ⋮ Two bifurcation sets arising from the beta transformation with a hole at 0 ⋮ Critical values for the -transformation with a hole at ⋮ Structure and dimension of invariant subsets of expanding Markov maps and joint invariance ⋮ Topological and ergodic properties of symmetric sub-shifts ⋮ The waiting spectra of the sets described by the quantitative waiting time indicators ⋮ The -transformation with a hole at 0 ⋮ Matching for generalised \(\beta\)-transformations ⋮ On the Existence of Conformal Measures ⋮ Large deviations and the distribution of pre-images of rational maps ⋮ Possible jumps of entropy for interval maps ⋮ Continuity of the Hausdorff dimension for piecewise monotonic maps ⋮ Stability of the topological pressure for piecewise monotonic maps under \(C^1\)-perturbations ⋮ The probability distribution and Hausdorff dimension of self-affine functions ⋮ On the specification property and synchronization of uniqueq-expansions ⋮ The bifurcation set as a topological invariant for one-dimensional dynamics ⋮ Exceptional sets in homogeneous spaces and Hausdorff dimension ⋮ Porcupine-Like Horseshoes: Topological and Ergodic Aspects
Cites Work
- On intrinsic ergodicity of piecewise monotonic transformations with positive entropy
- Hausdorff dimension of quasi-circles
- On intrinsic ergodicity of piecewise monotonic transformations with positive entropy. II
- The structure of Lorenz attractors
- Ergodic properties of invariant measures for piecewise monotonic transformations
- Theory of dynamical systems and general transformation groups with invariant measure
- Some systems with unique equilibrium states
- On the entropy of a flow
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