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- Topological_entropy abstract "In mathematics, the topological entropy of a topological dynamical system is a nonnegative extended real number that is a measure of the complexity of the system. Topological entropy was first introduced in 1965 by Adler, Konheim and McAndrew. Their definition was modelled after the definition of the Kolmogorov–Sinai, or metric entropy. Later, Dinaburg and Rufus Bowen gave a different, weaker definition reminiscent of the Hausdorff dimension. The second definition clarified the meaning of the topological entropy: for a system given by an iterated function, the topological entropy represents the exponential growth rate of the number of distinguishable orbits of the iterates. An important variational principle relates the notions of topological and measure-theoretic entropy.".
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- Topological_entropy wikiPageRevisionID "681969826".
- Topological_entropy wikiPageWikiLink Cardinality.
- Topological_entropy wikiPageWikiLink Category:Entropy_and_information.
- Topological_entropy wikiPageWikiLink Category:Ergodic_theory.
- Topological_entropy wikiPageWikiLink Category:Topological_dynamics.
- Topological_entropy wikiPageWikiLink Compact_space.
- Topological_entropy wikiPageWikiLink Continuous_function.
- Topological_entropy wikiPageWikiLink Continuous_function_(topology).
- Topological_entropy wikiPageWikiLink Continuous_map.
- Topological_entropy wikiPageWikiLink Cover_(topology).
- Topological_entropy wikiPageWikiLink Dmitri_Anosov.
- Topological_entropy wikiPageWikiLink Dynamical_system.
- Topological_entropy wikiPageWikiLink Eigenvalue.
- Topological_entropy wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Topological_entropy wikiPageWikiLink Ergodic.
- Topological_entropy wikiPageWikiLink Ergodicity.
- Topological_entropy wikiPageWikiLink Expansive.
- Topological_entropy wikiPageWikiLink Expansive_homeomorphism.
- Topological_entropy wikiPageWikiLink Exponential_growth.
- Topological_entropy wikiPageWikiLink Extended_real_line.
- Topological_entropy wikiPageWikiLink Extended_real_number.
- Topological_entropy wikiPageWikiLink Extended_real_number_line.
- Topological_entropy wikiPageWikiLink Graduate_Texts_in_Mathematics.
- Topological_entropy wikiPageWikiLink Hausdorff_dimension.
- Topological_entropy wikiPageWikiLink Hausdorff_space.
- Topological_entropy wikiPageWikiLink Hausdorff_topological_space.
- Topological_entropy wikiPageWikiLink Infimum_and_supremum.
- Topological_entropy wikiPageWikiLink Information.
- Topological_entropy wikiPageWikiLink Invariant_(mathematics).
- Topological_entropy wikiPageWikiLink Iterated_function.
- Topological_entropy wikiPageWikiLink Kolmogorov–Sinai_entropy.
- Topological_entropy wikiPageWikiLink Logarithm.
- Topological_entropy wikiPageWikiLink Mathematics.
- Topological_entropy wikiPageWikiLink Mean_dimension.
- Topological_entropy wikiPageWikiLink Measure-preserving_dynamical_system.
- Topological_entropy wikiPageWikiLink Measure-theoretic_entropy.
- Topological_entropy wikiPageWikiLink Metric_(mathematics).
- Topological_entropy wikiPageWikiLink Metric_entropy.
- Topological_entropy wikiPageWikiLink Metric_space.
- Topological_entropy wikiPageWikiLink Milnor–Thurston_kneading_theory.
- Topological_entropy wikiPageWikiLink Natural_number.
- Topological_entropy wikiPageWikiLink Periodic_orbit.
- Topological_entropy wikiPageWikiLink Periodic_point.
- Topological_entropy wikiPageWikiLink Roy_Adler.
- Topological_entropy wikiPageWikiLink Rufus_Bowen.
- Topological_entropy wikiPageWikiLink Scholarpedia.
- Topological_entropy wikiPageWikiLink Semi-continuity.
- Topological_entropy wikiPageWikiLink Springer-Verlag.
- Topological_entropy wikiPageWikiLink Springer_Science+Business_Media.
- Topological_entropy wikiPageWikiLink Subshift_of_finite_type.
- Topological_entropy wikiPageWikiLink Supremum.
- Topological_entropy wikiPageWikiLink Topological_dynamics.
- Topological_entropy wikiPageWikiLink Topological_entanglement_entropy.
- Topological_entropy wikiPageWikiLink Topological_entropy_in_physics.
- Topological_entropy wikiPageWikiLink Topological_order.
- Topological_entropy wikiPageWikiLink Transactions_of_the_American_Mathematical_Society.
- Topological_entropy wikiPageWikiLink Uniform_space.
- Topological_entropy wikiPageWikiLink Uniform_structure.
- Topological_entropy wikiPageWikiLink Upper_semicontinuous.
- Topological_entropy wikiPageWikiLinkText "Topological entropy".
- Topological_entropy wikiPageWikiLinkText "topological entropy".
- Topological_entropy author Dmitri_Anosov.
- Topological_entropy hasPhotoCollection Topological_entropy.
- Topological_entropy id "6068".
- Topological_entropy id "T/t093040".
- Topological_entropy title "Topological Entropy".
- Topological_entropy wikiPageUsesTemplate Template:About.
- Topological_entropy wikiPageUsesTemplate Template:Cite_book.
- Topological_entropy wikiPageUsesTemplate Template:Cite_journal.
- Topological_entropy wikiPageUsesTemplate Template:PlanetMath_attribution.
- Topological_entropy wikiPageUsesTemplate Template:SpringerEOM.
- Topological_entropy subject Category:Entropy_and_information.
- Topological_entropy subject Category:Ergodic_theory.
- Topological_entropy subject Category:Topological_dynamics.
- Topological_entropy hypernym Number.
- Topological_entropy type Dynamic.
- Topological_entropy type Process.
- Topological_entropy type Source.
- Topological_entropy comment "In mathematics, the topological entropy of a topological dynamical system is a nonnegative extended real number that is a measure of the complexity of the system. Topological entropy was first introduced in 1965 by Adler, Konheim and McAndrew. Their definition was modelled after the definition of the Kolmogorov–Sinai, or metric entropy. Later, Dinaburg and Rufus Bowen gave a different, weaker definition reminiscent of the Hausdorff dimension.".
- Topological_entropy label "Topological entropy".
- Topological_entropy sameAs Entropie_topologique.
- Topological_entropy sameAs 位相的エントロピー.
- Topological_entropy sameAs Entropia_topologiczna.
- Topological_entropy sameAs m.0dn04d.
- Topological_entropy sameAs Топологическая_энтропия.
- Topological_entropy sameAs Q3055355.
- Topological_entropy sameAs Q3055355.
- Topological_entropy sameAs 拓撲熵.
- Topological_entropy wasDerivedFrom Topological_entropy?oldid=681969826.
- Topological_entropy isPrimaryTopicOf Topological_entropy.