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math.DS2014★ 1 cited
The almost Borel structure of surface diffeomorphisms, Markov shifts and their factors
Mike Boyle, Jérôme Buzzi
Extending work of Hochman, we study the almost-Borel structure, i.e., the nonatomic invariant probability measures, of symbolic systems and surface diffeomorphisms. We first classi…
math.DS2014
Borel Isomorphism of SPR Markov Shifts
Mike Boyle, Jerome Buzzi, Ricardo Gomez
We show that strongly positively recurrent Markov shifts (in particular shifts of finite type) are classified up to Borel conjugacy by their entropy, period and their numbers of pe…