output
19992025
most citedSWASHES: a compilation of Shallow Water Analytic Solutions for Hydraulic and Environmental Studies

227 citations

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Showing 2003Show all

8 papers · 1 filter

math.PR2003

Central limit theorems in Random cluster and Potts Models

Olivier Garet

We prove that for q>=1, there exists r(q)<1 such that for p>r(q), the number of points in large boxes which belongs to the infinite cluster has a normal central limit behaviour und…

math.PR2003★ 41 cited

On the noise-induced passage through an unstable periodic orbit I: Two-level model

Nils Berglund, Barbara Gentz

We consider the problem of stochastic exit from a planar domain, whose boundary is an unstable periodic orbit, and which contains a stable periodic orbit. This problem arises when…

math.OA2003★ 4 cited

AF-algebras and the tail-equivalence relation on Bratteli diagrams

R. Exel, J. Renault

Given a Bratteli diagram D we consider the compact topological space formed by all infinite paths on D. Two such path are said to be tail-equivalent when they "have the same tail",…

math.DS2003★ 5 cited

Equidistribution des horocycles d'une surface géométriquement finie

Barbara Schapira

In this work, we show equidistribution properties for the horocycles of a geometrically finite surface with variable negative curvature. If the surface is hyperbolic, we deduce an…

math.MG2003

On entropy and Hausdorff dimension of measures defined through a non-homogeneous Markov process

Athanasios Batakis

In this work we study the Hausdorff dimension of measures whose weight distribution satisfies a markov non-homogeneous property. We prove, in particular, that the Hausdorff dimensi…

math.OA2003★ 1 cited

KMS states on C*-algebras associated to expansive maps

Alex Kumjian, Jean Renault

Using Walters' version of the Ruelle-Perron-Frobenius Theorem we show the existence and uniqueness of KMS states for a certain one-parameter group of automorphisms on a C*-algebra…