Borel Isomorphism of SPR Markov Shifts

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 periodic points.

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Additional Info

Field Value
Source https://hal.science/hal-00997333
Author Boyle, Mike, Buzzi, Jerome, Gomez, Ricardo
Maintainer CCSD
Last Updated May 5, 2026, 10:05 (UTC)
Created May 5, 2026, 10:05 (UTC)
Identifier hal-00997333
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Department of Mathematics [College Park] ; University of Maryland [College Park] (UMD) ; University System of Maryland-University System of Maryland
creator Boyle, Mike
date 2014-05-26T00:00:00
harvest_object_id 32d51c16-c7ba-4be9-9a32-a584c7194452
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2026-04-10T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1405.7155
set_spec type:UNDEFINED