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Transformations of Gibbs measures
, 1998
"... We study local transformations of Gibbs measures. We establish sufficient conditions for the quasilocality of the images and obtain results on the existence and continuity properties of their relative energies. General results are illustrated by simple examples. ..."
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Cited by 1 (0 self)
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We study local transformations of Gibbs measures. We establish sufficient conditions for the quasilocality of the images and obtain results on the existence and continuity properties of their relative energies. General results are illustrated by simple examples.
Gibbs measures on Brownian currents
, 2007
"... Motivated by applications to quantum field theory we consider Gibbs measures forwhich the reference measure is Wiener measure and the interaction is given by a double stochastic integral and a pinning external potential. In order properly to characterize these measures through DLR equations, we ar ..."
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Cited by 5 (5 self)
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Motivated by applications to quantum field theory we consider Gibbs measures forwhich the reference measure is Wiener measure and the interaction is given by a double stochastic integral and a pinning external potential. In order properly to characterize these measures through DLR equations, we
Symmetric Gibbs measures
 Trans. Amer. Math. Soc
, 1997
"... Abstract. We prove that certain Gibbs measures on subshifts of finite type are nonsingular and ergodic for certain countable equivalence relations, including the orbit relation of the adic transformation (the same as equality after a permutation of finitely many coordinates). The relations we cons ..."
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Cited by 24 (11 self)
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Abstract. We prove that certain Gibbs measures on subshifts of finite type are nonsingular and ergodic for certain countable equivalence relations, including the orbit relation of the adic transformation (the same as equality after a permutation of finitely many coordinates). The relations we
Gibbs Measures For Fibred Systems
"... . We consider a topological dynamical system T : Y ! Y on a metric space Y which forms a fibre bundle over another dynamical system. If T is fibrewise expanding and exact along fibres and if ' is a Holder continuous function we prove the existence of a system of conditional measures (called a ..."
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Cited by 7 (1 self)
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family of Gibbs measures) where the Jacobian is determined by '. This theorem reduces to Ruelle's PerronFrobenius theorem ([5]) when the base of the fibred system consists of a single point. The method of proof does not use any form of symbolic representation. We also study continuity
Gibbs measures on Brownian paths
, 2000
"... This is a summary of results based upon [1, 4] outlining how Gibbs measures can be defined on Brownian paths and what are their most important properties. Such Gibbs measures have a number of applications in Euclidean quantum field theory, statistical mechanics, stochastic (partial) differential ..."
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Cited by 1 (1 self)
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This is a summary of results based upon [1, 4] outlining how Gibbs measures can be defined on Brownian paths and what are their most important properties. Such Gibbs measures have a number of applications in Euclidean quantum field theory, statistical mechanics, stochastic (partial) differential
Gibbs Measures and Dismantlable Graphs
, 1999
"... We model physical systems with "hard constraints" by the space Hom(G; H) of homomorphisms from a locally finite graph G to a fixed finite constraint graph H. Two homomorphisms are deemed to be adjacent if they differ on a single site of G. We investigate ..."
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Cited by 45 (4 self)
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We model physical systems with "hard constraints" by the space Hom(G; H) of homomorphisms from a locally finite graph G to a fixed finite constraint graph H. Two homomorphisms are deemed to be adjacent if they differ on a single site of G. We investigate
1 Gibbs Measures and Their Slopes
, 2005
"... We’re going to be looking at matchings on doubly periodic graphs, primarily based on [1]. Let G be a doubly periodic graph where Z2 acts by translations along the periods. Let Gn denote the quotient of G by nZ2, which is a finite bipartite graph on the two dimensional torus T2. The set of perfect ma ..."
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the energy of a match by E(M) = ∑e∈M E(e). A Gibbs measure on M(G) is a measure
MULTIFRACTAL ANALYSIS AND THE VARIANCE OF GIBBS MEASURES
"... The multifractal decomposition of Gibbs measures for conformal iterated function system is well known. We look at a finer decomposition which also takes into account the rate of convergence. This is motivated by work by Olsen in the selfsimilar case. Our study of this finer decomposition involves i ..."
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Cited by 1 (0 self)
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The multifractal decomposition of Gibbs measures for conformal iterated function system is well known. We look at a finer decomposition which also takes into account the rate of convergence. This is motivated by work by Olsen in the selfsimilar case. Our study of this finer decomposition involves
Variational principle for fuzzy Gibbs measures
 Moscow Math. J
, 2010
"... Abstract. In this paper we study a large class of renormalization transformations of measures on lattices. An image of a Gibbs measure under such transformation is called a fuzzy Gibbs measure. Transformations of this type and fuzzy Gibbs measures appear naturally in many fields. Examples include t ..."
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Cited by 3 (1 self)
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Abstract. In this paper we study a large class of renormalization transformations of measures on lattices. An image of a Gibbs measure under such transformation is called a fuzzy Gibbs measure. Transformations of this type and fuzzy Gibbs measures appear naturally in many fields. Examples include
Loopy Belief Propagation and Gibbs Measures
 In Uncertainty in Artificial Intelligence
, 2002
"... We address the question of convergence in the loopy belief propagation (LBP) algorithm. ..."
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Cited by 103 (6 self)
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We address the question of convergence in the loopy belief propagation (LBP) algorithm.
Results 1  10
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