Teoria rozszerzeń symboliczcnych w dynamice topologicznej

• Autorzy: Downarowiccz T.
• Języki publikacji: PL

Słowa kluczowe

PL

układ dynamiczny topologiczny; rozszerzenie symboliczne; struktura entropijna

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Wiadomości Matematyczne
• Rocznik: 2013
• Tom: T. 49, Nr 1
• Strony: 1--19
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Downarowiccz T.

• Instytut Matematyki i Informatyki Politechnika Wrocławska

Bibliografia

• [1] R. Bowen, Equilibrium states and the ergodic theory of Anosov diffeomor phisms, Lect. Notes Math., t. 470, Springer, Berlin 2008.
• [2] M. Boyle, T. Downarowicz, The entropy theory of symbolic extensions, Invent. Math. 156 (2004), nr 1, 119-161.
• [3] M. Boyle, D. Fiebig, U. Fiebig, Residual entropy, conditional entropy and subshift covers, Forum Math. 14 (2002), nr 5, 713-757.
• [4] D. Burguet, Examples of Cr interval map with large symbolic extension entropy, Discrete and Continuous Dynamical Systems-A 26 (2010), 873-899.
• [5] D. Burguet, C2 surface diffeomorphisms have symbolic extensions, Inven- tiones Mathematicae 186 (2011), 191-236.
• [6] D. Burguet, Symbolic extensions in intermediate smoothness on surfaces, Ann. Sci. Ec. Norm. Super. 45 (2012), nr 2, 337-362.
• [7] D. Burguet, K. McGoff, Orders of accumulation of entropy, Fundamenta Math. 216 (2012), 1-53.
• [8] J. Buzzi, Intrinsic ergodicity of smooth interval maps, Israel J. Math. 100 (1997), 125-161.
• [9] T. Downarowicz, Entropy in dynamical systems, New Mathematical Monographs, t. 18, Cambridge University Press 2011.
• [10] T. Downarowicz, Entropy of a symbolic extension of a dynamical system, Ergodic Theory Dynam. Systems 21 (2001), nr 4, 1051 1070.
• [11] T. Downarowicz, Entropy structure, J. Anal. Math. 96 (2005), 57-116.
• [12] T. Downarowicz, A. Maass, Smooth interval maps have symbolic extensions: the Antarctic theorem, Invent. Math. 176 (2009), nr 3, 617-636.
• [13] T. Downarowicz, S. Newhouse, Symbolic extensions and smooth dynamical systems, Invent. Math. 160 (2005), nr 3, 453-499.
• [14] T. Downarowicz, D. Huczek, Faithful zero-dimensional principal extensions, preprint.
• [15] E. Lindenstrauss, Mean dimension, small entropy factors and an imbedding theorem, Publ. Math. I.H.E.S. 89 (1999), 227-262.
• [16] E. Lindenstrauss, B. Weiss, Mean topological dimension, Israel J. Math. 115 (2000), 1-24.
• [17] K. McGoff, Orders of accumulation of entropy on manifolds, J. Anal. Math. 114 (2011), 157-206.
• [18] M. Misiurewicz, Topological conditional entropy, Studia Math. 55 (1976), nr 2, 175-200.
• [19] S. Newhouse, Continuity properties of entropy, Ann. Math. 129 (1990), 215-235. Corr. w Ann. Math. 131 (1990), 409-410.
• [20] W. L. Reddy, Lifting expansive homeomorphisms to symbolic flows, Math. Systems Theory 2 (1968), 91-92.
• [21] D. Ruelle, An inequality for the entropy of differentiable maps, Bol. Soc. Brasil. Mat. 9 (1978), nr 1, 83-87.
• [22] J. Serafin, A faithful symbolic extension, Commun. Pure and Applied Anal. 11 (2012), 1051-1062.