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Many problems of interest in computer science and information theory can be phrased in terms of a probability distribution over discrete variables associated to the vertices of a large (but finite) sp...
Abstract: This paper deals with the problem of perfect sampling from a Gibbs measure with infinite range interactions. We present some sufficient conditions for the extinction of processes which are l...
We construct a Gibbs measure for the nonlinear Schr¨odinger equation (NLS)on the circle, conditioned on prescribed mass and momentum:dμa,b = Z−1 1 {´T |u|2=a} 1 {i ´T uux=b}e±1 p &a...
We construct spectral metric spaces for Gibbs measures on a onesided topologically exact subshift of finite type. That is, for a given Gibbs measure we construct a spectral triple and show that Connes...
The problem of the description of finite factor representations of the infinite-dimensional unitary group, investigated by Voiculescu in 1976, is equivalent to the description of all totally positive...
We establish a Feynman-Kac-type formula to define fractional Schr\"odinger operators for fractional Kato-decomposable potentials as self-adjoint operators. In this functional integral representation ...
Let T :  !  be an expanding map on a Cantor set. For each suitably normalized H¨older continuous potential, we construct a spectral triple from which one may recover the associated Gibbs measure as ...
In this paper we study the asymptotic behaviour of the escape rate of a Gibbs measure supported on a conformal repeller through a small hole. There are additional applications to the convergence of Ha...

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