منابع مشابه
Exchangeable Measures for Subshifts
Let Ω be a Borel subset of SN where S is countable. A measure is called exchangeable on Ω, if it is supported on Ω and is invariant under every Borel automorphism of Ω which permutes at most finitely many coordinates. De-Finetti’s theorem characterizes these measures when Ω = SN. We apply the ergodic theory of equivalence relations to study the case Ω 6= SN, and obtain versions of this theorem ...
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For SFTs, any equilibrium measure is Gibbs, as long a f has dsummable variation. This is a theorem of Lanford and Ruelle. Conversely, a theorem of Dobrušin states that for strongly-irreducible subshifts, shiftinvariant Gibbs-measures are equilibrium measures. Here we prove a generalization of the Lanford-Ruelle theorem: for all subshifts, any equilibrium measure for a function with d-summable v...
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Statistical network modelling has focused on representing the graph as a discrete structure, namely the adjacency matrix. When assuming exchangeability of this array-which can aid in modelling, computations and theoretical analysis-the Aldous-Hoover theorem informs us that the graph is necessarily either dense or empty. We instead consider representing the graph as an exchangeable random measur...
متن کاملar X iv : m at h / 04 06 57 8 v 4 [ m at h . D S ] 6 S ep 2 00 5 EXCHANGEABLE MEASURES FOR SUBSHIFTS
Let Ω be a Borel subset of S N where S is countable. A measure is called exchangeable on Ω, if it is supported on Ω and is invariant under every Borel automorphism of Ω which permutes at most finitely many coordinates. De-Finetti's theorem characterizes these measures when Ω = S N. We apply the ergodic theory of equivalence relations to study the case Ω = S N , and obtain versions of this theor...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincare (B) Probability and Statistics
سال: 2006
ISSN: 0246-0203
DOI: 10.1016/j.anihpb.2005.10.002