On the existence of ergodic continuous invariant measures for folding transformations

Ergodic Theory and Dynamical Systems

Volumn 20, Issue 1, 2000, Pages 47-53

  Boyarsky, Abraham ^a   Góra, Paweł ^a   Lioubimov, Vadim ^a  

^a Dept of Electrical and Computer Engineering   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038998737     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385700000031     Document Type: Article

References (7)

1. R. Adler and L. Flatto. Geodesic flows, interval maps, and symbolic dynamics. Bull. Amer. Math. Soc. 25 (1991), 229-334.
2. A. Avez. Propriétés ergodiques des endomorphismes dilatants des variétés compactes. C. R. Acad. Sci., Paris Sér. A 266 (1968), 610-612.
3. A. Boyarsky, W. Byers and P. Gauthier. Higher dimensional analogues of the tent maps. Nonlinear Analysis 11 (1987), 1317-1324.
4. N. Dunford and J. T. Schwartz. Linear Operators, Part I. Interscience, New York, 1967.
5. A. Lasota and G. Pianigiani. Invariant measures on topological spaces. Bolletino, U.M.I. (5) 14-B (1977), 592-603.
6. A. Lasota and J. Yorke. On the existence of invariant measures for transformations with strictly turbulent trajectories. Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 25 (1977), 233-238.
7. R. Rudnicki. Ergodic measures on topological spaces. Univ. Iag. Acta Math. 26 (1987), 231-237.