Conformal measures for multidimensional piecewise invertible maps

Ergodic Theory and Dynamical Systems

Volumn 21, Issue 4, 2001, Pages 1035-1049

  Buzzi, Jérôme ^a   Paccaut, Frédéric ^b   Schmitt, Bernard ^b  

^a ECOLE POLYTECHNIQUE   (France)

^b UNIVERSITÉ DE BOURGOGNE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039741658     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385701001493     Document Type: Article

References (9)

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3. J. Buzzi. a.c.i.m.'s as equilibrium states. Proc. Symp. Pure Appl. Math. (Seattle, 1999). American Mathematical Society, to appear.
4. J. Buzzi and V. Maume-Deschamps. Decay of correlations for piecewise invertible maps in higher dimensions. Preprint, 1999.
5. M. Denker, C. Grillenberger and K. Sigmund. Ergodic Theory on Compact Spaces (Lecture Notes in Mathematics, 527). Springer, 1976.
6. M. Denker and M. Urbański. On the existence of conformal measures. Trans. Amer. Math. Soc. 328 (1991), 563-587.
7. N. Dunford and J. Schwartz. Linear Operators. Part I. General Theory. Wiley, New York, 1988.
8. F. Ledrappier. Some properties of absolutely continuous invariant measures on an interval. Ergod. Th. & Dynam. Sys. 1 (1981), 77-93. .
9. C. Liverani, B. Saussol and S. Vaienti. Conformal measure and decay of correlation for covering weighted systems. Ergod. Th. & Dynam. Sys. 18 (1998), 1399-1420.