Relative entropy functions for factor maps between subshifts

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Let ( X, S) and ( Y, T) be topological dynamical systems and pi : X -> Y a factor map. A function F epsilon C( X) is a compensation function for pi if P( F + phi o p) = P(phi) for all phi epsilon C( Y). For a factor code between subshifts of finite type, we analyze the associated relative entropy function and give a necessary condition for the existence of saturated compensation functions. Necessary and sufficient conditions for a map to be a saturated compensation function will be provided.
Publisher
AMER MATHEMATICAL SOC
Issue Date
2006
Language
English
Article Type
Article
Keywords

TO-ONE CODES

Citation

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v.358, no.5, pp.2205 - 2216

ISSN
0002-9947
DOI
10.1090/S0002-9947-05-03943-7
URI
http://hdl.handle.net/10203/90607
Appears in Collection
MA-Journal Papers(저널논문)
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