Mixing Cr maps of the interval without maximal measure

Israel Journal of Mathematics

Volumn 127, Issue , 2002, Pages 253-277

  Ruette, Sylvie ^a  

^a AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0142138093     PISSN: 00212172     EISSN: 15658511     Source Type: Journal    
DOI: 10.1007/BF02784534     Document Type: Article

References (27)

1. Ll. Alsedà, J. Llibre and M. Misiurewicz, Combinatorial Dynamics and Entropy in Dimension One, World Scientific, River Edge, NJ, 1993.
2. L. S. Block and W. A. Coppel, Dynamics in One Dimension, Lecture Notes in Mathematics 1513, Springer-Verlag, Berlin, 1992.
3. A. M. Blokh, On sensitive mappings of the interval, Russian Matematical Surveys 37 (1982), 203-204.
4. A. M. Blokh, Decomposition of dynamical systems on an interval, Russian Mathematical Surveys 38 (1983), 133-134.
5. R. Bowen, Entropy for group endomorphisms and homogeneous spaces, Transactions of the American Mathematical Society 153 (1971), 401-414.
6. R. Bowen, Periodic points and measures for Axiom A diffeomorphisms, Transactions of the American Mathematical Society 154 (1971), 377-397.
7. R. Bowen, Some systems with unique equilibrium states, Mathematical Systems Theory 8 (1974), 193-202.
8. J. Buzzi, personal communication.
9. J. Buzzi, Intrinsic ergodicity of smooth interval maps, Israel Journal of Mathematics 100 (1997), 125-161.
10. J. Buzzi, Specification on the interval, Transactions of the American Mathematical Society 349 (1997), 2737-2754.
11. M. Denker, C. Grillenberger and K. Sigmund, Ergodic Theory on Compact Spaces, Lecture Notes in Mathematics 527, Springer-Verlag, Berlin, 1976.
12. B. M. Gurevich and A. S. Zargaryan, A continuous one-dimensional mapping without a measure with maximal entropy, Functional Analysis and its Applications 20 (1986), 134-136.
13. B. M. Gurevič, Topological entropy of enumerable Markov chains, Soviet Mathematics Doklady 10 (1969), 911-915.
14. B. M. Gurevič, Shift entropy and Markov measures in the path space of a denumerable graph, Soviet Mathematics Doklady 11 (1970), 744-747.
15. F. Hofbauer, On intrinsic ergodicity of piecewise monotonic transformations with positive entropy, Israel Journal of Mathematics I 34 (1979), 213-237; II 38 (1981), 107-115.
16. F. Hofbauer, On intrinsic ergodicity of piecewise monotonic transformations with positive entropy, Israel Journal of Mathematics I 34 (1979), 213-237; II 38 (1981), 107-115.
17. F. Hofbauer, Piecewise invertible dynamical systems, Probability Theory and Related Fields 72 (1986), 359-386.
18. M. Misiurewicz and W. Szlenk, Entropy of piecewise monotone mapping's, Studia Mathematica 67 (1980), 45-63.
19. S. E. Newhouse, Continuity properties of entropy, Annals of Mathematics 129 (1989), 215-235.
20. K. Petersen, Ergodic Theory, Cambridge University Press, 1983.
21. D. Ruelle, Thermodynamic formalism for maps satisfying positive expansiveness and specification, Nonlinearity 5 (1992), 1223-1236.
22. I. A. Salama, Topological entropy and classification of countable chains, PhD thesis, University of North Carolina, Chapel Hill, 1984.
23. I. A. Salama, Topological entropy and recurrence of countable chains, Pacific Journal of Mathematics 134 (1988), 325-341; Errata, Pacific Journal of Mathematics, 140 (1989), 397.
24. I. A. Salama, Topological entropy and recurrence of countable chains, Pacific Journal of Mathematics 134 (1988), 325-341; Errata, Pacific Journal of Mathematics, 140 (1989), 397.
25. D. Vere-Jones, Geometric ergodicity in denumerable Markov chains, The Quarterly Journal of Mathematics 13 (1962), 7-28.
26. k-resolution of semialgebraic mappings. Addendum to "Volume growth and entropy", Israel Journal of Mathematics 57 (1987), 301-318.
27. k-resolution of semialgebraic mappings. Addendum to "Volume growth and entropy", Israel Journal of Mathematics 57 (1987), 301-318.