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Topological and Measure‐Theoretic Conjugacy of Subshifts Using the Ruelle Operator
Author(s) -
Cowen Robert
Publication year - 1990
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-41.2.261
Subject(s) - topological conjugacy , conjugacy class , mathematics , markov chain , measure (data warehouse) , operator (biology) , topology (electrical circuits) , state (computer science) , pure mathematics , discrete mathematics , computer science , combinatorics , algorithm , biochemistry , statistics , chemistry , repressor , database , transcription factor , gene
In this paper we introduce new necessary and sufficient conditions for two finite state topological Markov chains to be topologically conjugate via a conjugacy which preserves certain equilibrium states. We also investigate the relationship between these new conditions and Williams's problem.