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19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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Showing 2008 · math.PRShow all

5 papers · 2 filters

math.PR2008

Harmonic measures versus quasiconformal measures for hyperbolic groups

Sébastien Blachère, Peter Haïssinsky, Pierre Mathieu

We establish a dimension formula for the harmonic measure of a finitely supported and symmetric random walk on a hyperbolic group. We also characterize random walks for which this…

math.PR2008★ 7 cited

Stabilité du comportement des marches aléatoires sur un groupe localement compact

Driss Gretete

Dans cet article nous démontrons un théorème de stabilité des probabilités de retour sur un groupe localement compact unimodulaire, séparable et compactement engendré. Nous démontr…

math.PR2008★ 29 cited

Phase Transition in the 1d Random Field ising model with long range interaction

Marzio Cassandro, Enza Orlandi, Pierre Picco

We study the one dimensional Ising model with ferromagnetic, long range interaction which decays as |i-j|^{-2+a}, 1/2< a<1, in the presence of an external random filed. we assume t…

math.PR2008

Homogenization of semi-linear PDEs with discontinuous effective coefficients

K. Bahlali, Abouo Elouaflin, E. Pardoux

We study the asymptotic behavior of solution of semi-linear PDEs. Neither periodicity nor ergodicity will be assumed. In return, we assume that the coefficients admit a limit in Ce…

math.PR2008★ 1 cited

A functional central limit theorem for regenerative chains

G. Maillard, S. Schöpfer

Using the regenerative scheme of Comets, Fernández and Ferrari (2002), we establish a functional central limit theorem (FCLT) for discrete time stochastic processes (chains) with s…