Entropy and preimage sets

Ergodic Theory and Dynamical Systems

Volumn 23, Issue 6, 2003, Pages 1785-1806

  Fiebig, Doris ^a   Fiebig, Ulf Rainer ^a   Nitecki, Zbigniew H ^b  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

^b TUFTS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 26044434467     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385703000221     Document Type: Article

References (17)

1. [AKM65] R. L. Adler, A. G. Konheim and M. H. McAndrew. Topological entropy. Trans. Amer. Math. Soc. 114 (1965), 309-319.
2. [BFF02] M. Boyle, D. Fiebig and U. Fiebig. Residual entropy, conditional entropy and subshift covers. Forum Math. 14 (2002), 713-757.
3. [Bow71] R. Bowen. Entropy for group endomorphisms and homogeneous spaces. Trans. Amer. Math. Soc. 153 (1971), 401-414 (Erratum 181 (1973), 509-510).
4. [Bow72] R. Bowen. Entropy-expansive maps. Trans. Amer. Math. Soc. 164 (1972), 323-331.
5. [Bow78] R. Bowen. On Axiom A Diffeomorphisms (Conference Board of the Mathematical Sciences Regional Conference Series in Mathematics, 35). American Mathematical Society, Providence, RI, 1978.
6. [Buz97] J. Buzzi. Intrinsic ergodicity of smooth interval maps. Israel J. Math. 100 (1997), 125-161.
7. [DGS76] M. Denker, C. Grillenberger and K. Sigmund. Ergodic Theory on Compact Spaces (Lecture Notes in Mathematics, 527). Springer, New York, 1976.
8. [Din70] E. I. Dinaburg. The relation between topological entropy and metric entropy. Soviet Math. Dokl. 11 (1970), 13-16.
9. [DS] T. Downarowicz and J. Serafin. Fiber entropy and conditional variational principles in compact, non metrizable spaces. Fund. Math. 172 (2002), 217-247.
10. [Eng78] R. Engelking. Dimension Theory. North-Holland, Amsterdam, 1978.
11. [Hur95] M. Hurley. On topological entropy of maps. Ergod. Th. & Dynam. Sys. 15 (1995), 557-568.
12. [Ku] J. Kulesza. Zero-dimensional covers of finite-dimensional dynamical systems. Ergod. Th. & Dynam. Sys. 15 (1995), 939-950.
13. [LP92] R. Langevin and F. Przytycki. Entropie de l'image inverse d'une application. Bull. Soc. Math. France 120 (1992), 237-250.
14. [LW91] R. Langevin and P. Walczak. Entropie d'une dynamique. Comptes Rendus, Acad. Sci. Paris 312 (1991), 141-144.
15. [Man79] R. Mañé. Expansive homeomorphisms and topological dimension. Trans Amer. Math. Soc. 252 (1979), 313-319.
16. [Mis76] M. Misiurewicz. Topological conditional entropy. Studia Math. 55 (1976), 175-200.
17. [NP99] Z. Nitecki and F. Przytycki. Preimage entropy for mappings. Int. J. Bifurcation Chaos 9 (1999), 1815-1843.