Piecewise isometries have zero topological entropy

Ergodic Theory and Dynamical Systems

Volumn 21, Issue 5, 2001, Pages 1371-1377

  Buzzi, Jérôme ^a  

^a CENTRE DE MATHÉMATIQUES LAURENT SCHWARTZ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035641784     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385701001651     Document Type: Article

References (7)

1. d. Monatsh. Math. 124 (1997), 97-118.
2. M. Denker, C. Grillenberger and K. Sigmund. Ergodic Theory on Compact Spaces (Lecture Notes in Mathematics, 527). Springer, 1976.
3. A. Goetz. Sofic subshifts and piecewise isometric systems. Ergod. Th. & Dynam. Sys. 19 (1999), 1485-1501.
4. E. Gutkin and N. Haydn. Topological entropy of polygon exchange transformations and polygonal billiards. Ergod. Th. & Dynam. Sys. 17 (1997), 849-867.
5. A. Katok. The growth rate for the number of singular and periodic orbits for a polygonal billiard. Comm. Math. Phys. 111 (1987), 151-160.
6. G. Keller. Ergodicité et mesures invariantes pour les transformations dilatantes par morceaux d'une région bornée du plan. C. R. Acad. Sci. Paris Sér. A-B 289 (1979), A625-A627.
7. M. Tsujii. Absolutely continuous invariant measures for expanding piecewise linear maps. Math. Invent. to appear.