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20032005
most citedOn the noise-induced passage through an unstable periodic orbit I: Two-level model

41 citations

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Showing 2003Show all

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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.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…

math.PR2003★ 5 cited

Asymptotic shape for the chemical distance and first-passage percolation in random environment

Olivier Garet, Regine Marchand

The aim of this paper is to generalize the well-known asymptotic shape result for first-passage percolation on $\Zd$ to first-passage percolation on a random environment given by t…