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
Cet article a éte moissonné depuis la source EMS Press
Extending work of Hochman, we study the almost-Borel structure, i.e., the nonatomic invariant probability measures, of symbolic systems and surface diffeomorphisms.
Classification :
37-XX
Keywords: Ergodic theory, entropy, symbolic dynamics, surface diffeomorphism, Borel isomorphism, Markov shifts, factors, universality
Keywords: Ergodic theory, entropy, symbolic dynamics, surface diffeomorphism, Borel isomorphism, Markov shifts, factors, universality
@article{JEMS_2017_19_9_a3,
author = {Mike Boyle and J\'er\^ome Buzzi},
title = {The almost {Borel} structure of surface diffeomorphisms, {Markov} shifts and their factors},
journal = {Journal of the European Mathematical Society},
pages = {2739--2782},
year = {2017},
volume = {19},
number = {9},
doi = {10.4171/jems/727},
url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/727/}
}
TY - JOUR AU - Mike Boyle AU - Jérôme Buzzi TI - The almost Borel structure of surface diffeomorphisms, Markov shifts and their factors JO - Journal of the European Mathematical Society PY - 2017 SP - 2739 EP - 2782 VL - 19 IS - 9 UR - http://geodesic.mathdoc.fr/articles/10.4171/jems/727/ DO - 10.4171/jems/727 ID - JEMS_2017_19_9_a3 ER -
%0 Journal Article %A Mike Boyle %A Jérôme Buzzi %T The almost Borel structure of surface diffeomorphisms, Markov shifts and their factors %J Journal of the European Mathematical Society %D 2017 %P 2739-2782 %V 19 %N 9 %U http://geodesic.mathdoc.fr/articles/10.4171/jems/727/ %R 10.4171/jems/727 %F JEMS_2017_19_9_a3
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
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