Geodesic
The almost Borel structure of surface diffeomorphisms, Markov shifts and their factors
Journal of the European Mathematical Society, Tome 19 (2017) no. 9, pp. 2739-2782.

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Extending work of Hochman, we study the almost-Borel structure, i.e., the nonatomic invariant probability measures, of symbolic systems and surface diffeomorphisms.
DOI : 10.4171/jems/727
Classification : 37-XX
Keywords: Ergodic theory, entropy, symbolic dynamics, surface diffeomorphism, Borel isomorphism, Markov shifts, factors, universality 
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     title = {The almost {Borel} structure of surface diffeomorphisms, {Markov} shifts and their factors},
     journal = {Journal of the European Mathematical Society},
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Mike Boyle; Jérôme Buzzi. The almost Borel structure of surface diffeomorphisms, Markov shifts and their factors. Journal of the European Mathematical Society, Tome 19 (2017) no. 9, pp. 2739-2782. doi : 10.4171/jems/727. http://geodesic.mathdoc.fr/articles/10.4171/jems/727/

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