Rotation and entropy
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Publication:4243632
DOI10.1090/S0002-9947-99-02344-2zbMath0918.54019MaRDI QIDQ4243632
Michał Misiurewicz, William Geller
Publication date: 19 May 1999
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
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Related Items (21)
New rotation sets in a family of torus homeomorphisms ⋮ Ground states and zero-temperature measures at the boundary of rotation sets ⋮ Rotational entropy -- a homotopy invariant for torus maps ⋮ Rotation sets and rotational entropy for random dynamical systems on the torus ⋮ Realization of rotation vectors for volume preserving homeomorphisms of the torus ⋮ Generalized rotation sets and rotational entropy for circle maps ⋮ Rotation, entropy, and equilibrium states ⋮ Translation numbers for a class of maps on the dynamical systems arising from quasicrystals in the real line ⋮ A horseshoe with a discontinuous entropy spectrum ⋮ Geometry and entropy of generalized rotation sets ⋮ A shift map with a discontinuous entropy function ⋮ On the computability of rotation sets and their entropies ⋮ Local entropy theory ⋮ The rotation sets of most volume preserving homeomorphisms on \(\mathbb{T}^d\) are stable, convex and rational polyhedrons ⋮ SOME RESULTS ON ENTROPY AND SEQUENCE ENTROPY ⋮ Entropy spectrum of rotation classes ⋮ A topological classification of locally constant potentials via zero-temperature measures ⋮ Ergodic optimization in dynamical systems ⋮ Homotopical complexity of a billiard flow on the 3D flat torus with two cylindrical obstacles ⋮ Localized variational principle for non-Besicovitch metric spaces ⋮ Directional complexity and entropy for lift mappings
Cites Work
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- Rotational entropy for annulus homeomorphisms
- Topological pressure and the variational principle for noncompact sets
- Ergodic theory on compact spaces
- Horseshoes, entropy and periods for graph maps
- Entropy of piecewise monotone mappings
- Periodic Orbits and the Continuity of Rotation Numbers
- Asymptotic entropy, periodic orbits, and pseudo-Anosov maps
- New order for periodic orbits of interval maps
- A toral diffeomorphism with a nonpolygonal rotation set
- Topological Entropy for Noncompact Sets
- The weight-per-symbol polytope and scaffolds of invariants associated with Markov chains
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