scientific article; zbMATH DE number 1175469

zbMath0974.54027MaRDI QIDQ4398327

Peter Raith

Publication date: 16 December 2001

Full work available at URL: http://www.numdam.org/item?id=ASNSP_1997_4_24_4_783_0

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zbMATH Keywords

periodic pointnonwandering setstructural decompositionmaximal topologically transitive subsets

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Topological entropy (37B40)

Related Items (3)

Stability of the distribution function for piecewise monotonic maps on the interval ⋮ Markov invariant dynamics ⋮ Stability of the topological pressure for piecewise monotonic maps under \(C^1\)-perturbations

Cites Work

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• Piecewise invertible dynamical systems
• Topologically transitive subsets of piecewise monotonic maps, which contain no periodic points
• On intrinsic ergodicity of piecewise monotonic transformations with positive entropy
• Continuity of the Hausdorff dimension for piecewise monotonic maps
• The variation of spectra
• Jumps of entropy in one dimension
• Invariant subsets of expanding mappings of the circle
• Entropy of piecewise monotone mappings
• The structure of piecewise monotonic transformations
• Hausdorff dimension for piecewise monotonic maps
• Stability of the maximal measure for piecewise monotonic interval maps
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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