Nonabelian free group actions: Markov processes, the Abramov-Rohlin formula and Yuzvinskii's formula

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dc.creatorBowen, Lewis
dc.date2008-06-27
dc.date2009-04-15
dc.date.accessioned2026-07-07T13:03:33Z
dc.date.available2026-07-07T13:03:33Z
dc.descriptionThis paper introduces Markov chains and processes over nonabelian free groups and semigroups. We prove a formula for the $f$-invariant of a Markov chain over a free group in terms of transition matrices that parallels the classical formula for the entropy a Markov chain. Applications include free group analogues of the Abramov-Rohlin formula for skew-product actions and Yuzvinskii's addition formula for algebraic actions.
dc.description39 pages. The introduction has been rewritten and minor errors corrected
dc.identifierhttps://arxiv.org/abs/0806.4420
dc.identifierhttp://arxiv.org/abs/0806.4420
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226844
dc.subjectDynamical Systems
dc.subject37A35
dc.titleNonabelian free group actions: Markov processes, the Abramov-Rohlin formula and Yuzvinskii's formula
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