On the topological entropy of green interval maps

• Autorzy: Bobok J.
• Języki publikacji: EN

Abstrakty

EN

We investigate the topological entropy of a green interval map. Defining the complexity we estimate from above the topological entropy of a green interval map with a given complexity. The main result of the paper — stated in Theorem 0.2 — should be regarded as a completion of results of [4].

Słowa kluczowe

EN

interval map; topological entropy; symbolic dynamics

PL

przedział mapy; topologia entropii; symboliczna dynamika

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2001
• Tom: Vol. 7, nr 1
• Strony: 107--112
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Bobok J.

• KM FSv ČVUT Thákurova 7 166 29 Praha 6 Czech Republic,

Bibliografia

• [1] Alsedá, L., Llibre, J., Misiurewicz, M., Combinatorial Dynamics and Entropy in Dimension One, Adv. Ser. Nonlinear Dynam. 5 (1993), World Sei., Singapore.
• [2] Blokh, A. M., Rotation numbers for unimodal maps MSRI (1994), Preprint #58-94.
• [3] Blokh, A. M., Misiurewicz, M., Entropy of twist interval maps, Israel J. Math. 102 (1997), 61-99.
• [4] Bobok, J., On entropy of patterns given by interval maps, Fund. Math. 162(1), 1999, 1-36.
• [5] Bobok, J., Kuchta, M., Invariant measures for maps of the interval that do not have points of some period, Ergodic Theory Dynam. Systems 14 (1994), 9-21.
• [6] Bowen, R., Entropy for group endomorphisms and homogeneous spaces, TVans. Amer. Math. Soc. 153 (1971), 401-414.
• [7] Denker, M., Grillenberger, Ch., Sigmund, K., Ergodic Theory on Compact Spaces, Lecture Notes in Math. 527 (1976), Springer-Verlag, Berlin.
• [8] Misiurewicz, M., Szlenk, W., Entropy of piecewise monotone mappings, Studia Math. 67 (1980), 45-63.