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Research Article On the existence of ergodic continuous invariant measures for folding transformationsABRAHAM BOYARSKY a1 , PAWEL GÓRA a1 and VADIM LIOUBIMOV a1 a1 Department of Mathematics and Statistics, Concordia University, 7141 Sherbrooke Street West, Montreal, Quebec H4B 1R6, Canada (e-mail: boyar@vax2.concordia.ca, pgora@vax2.concordia.ca, vadim@alcor.concordia.ca) Abstract We present a sufficient condition for the existence of ergodic continuous invariant measures (ECIMs) for continuous folding transformations. We apply this result to prove the existence of ECIMs for general set expanding Markov transformations and $n$-dimensional tent maps. (Received November 25 1997)(Revised October 13 1998) |
Ergodic Theory and Dynamical Systems (2000), 20: 47-53 Cambridge University Press
doi:10.1017/S0143385700000031
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http://journals.cambridge.org/action/displayAbstract?aid=32025
Copy and paste this citation
ABRAHAM BOYARSKY,
PAWEL GÓRA
and VADIM LIOUBIMOV
(2000).
On the existence of ergodic continuous invariant measures for folding transformations. Ergodic Theory and Dynamical Systems,
20,
pp 47-53
doi:10.1017/S0143385700000031
doi:10.1017/S0143385700000031
