Let denote the family of continuous maps from an interval into itself such that (1) ; (2) they consist of two monotone pieces; and (3) they have periodic points of periods exactly all powers of . The main aim of this paper is to compute explicitly the topological sequence entropy of any map respect to the sequence .
Nous considérons la famille de fonctions continues de l’intervalle sur lui–même, telles que (1) ; (2) elles sont constituées de deux morceaux monotones; et (3) elles ont des points périodiques de périodes toutes les puissances de exactement. L’objectif principal de ce travail est de calculer explicitement l’entropie topologique séquentielle de tout élément de par rapport à la suite .
Keywords: map of type $2^\infty $, topological sequence entropy, unimodal map
Mot clés : fonction de type $2^\infty $, entropie séquentielle topologique, fonction unimodale
Jiménez López, Victor 1; Cánovas Peña, Jose Salvador 2
@article{AIF_2002__52_4_1093_0, author = {Jim\'enez L\'opez, Victor and C\'anovas Pe\~na, Jose Salvador}, title = {Computing explicitly topological sequence entropy: the unimodal case}, journal = {Annales de l'Institut Fourier}, pages = {1093--1133}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {52}, number = {4}, year = {2002}, doi = {10.5802/aif.1913}, zbl = {1083.37012}, mrnumber = {1926675}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1913/} }
TY - JOUR AU - Jiménez López, Victor AU - Cánovas Peña, Jose Salvador TI - Computing explicitly topological sequence entropy: the unimodal case JO - Annales de l'Institut Fourier PY - 2002 SP - 1093 EP - 1133 VL - 52 IS - 4 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1913/ DO - 10.5802/aif.1913 LA - en ID - AIF_2002__52_4_1093_0 ER -
%0 Journal Article %A Jiménez López, Victor %A Cánovas Peña, Jose Salvador %T Computing explicitly topological sequence entropy: the unimodal case %J Annales de l'Institut Fourier %D 2002 %P 1093-1133 %V 52 %N 4 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.1913/ %R 10.5802/aif.1913 %G en %F AIF_2002__52_4_1093_0
Jiménez López, Victor; Cánovas Peña, Jose Salvador. Computing explicitly topological sequence entropy: the unimodal case. Annales de l'Institut Fourier, Volume 52 (2002) no. 4, pp. 1093-1133. doi : 10.5802/aif.1913. https://aif.centre-mersenne.org/articles/10.5802/aif.1913/
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