Permutations and topological entropy for interval maps

DOI10.1088/0951-7715/16/3/310zbMath1030.37025OpenAlexW1966076983MaRDI QIDQ4430684

Michał Misiurewicz

Publication date: 12 October 2003

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/16/3/310

zbMATH Keywords

entropypermutationsperiodic orbitsinterval maps

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving maps of the interval (37E05) Combinatorial dynamics (types of periodic orbits) (37E15)

Related Items

Topological permutation entropy, The equality of Kolmogorov-Sinai entropy and metric permutation entropy generalized, Symbolic transfer entropy rate is equal to transfer entropy rate for bivariate finite-alphabet stationary ergodic Markov processes, Distributions of Order Patterns of Interval Maps, Kolmogorov-Sinai entropy from the ordinal viewpoint, TIME SERIES FROM THE ORDINAL VIEWPOINT, Permutation complexity via duality between values and orderings, The permutation entropy rate equals the metric entropy rate for ergodic information sources and ergodic dynamical systems, How does a choice of Markov partition affect the resultant symbolic dynamics?, On entropy, entropy-like quantities, and applications