Institut de Mathématiques de Marseille

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19972026

most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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Showing 2009 · math.PRShow all

5 papers · 2 filters

math.PR2009★ 1 cited

Sampling the Fermi statistics and other conditional product measures

Alexandre Gaudilliere, Julien Reygner

Through a Metropolis-like algorithm with single step computational cost of order one, we build a Markov chain that relaxes to the canonical Fermi statistics for k non-interacting p…

math.PR2009★ 3 cited

Global divergence of spatial coalescents

Omer Angel, Nathanael Berestycki, Vlada Limic

We study several fundamental properties of a class of stochastic processes called spatial Lambda-coalescents. In these models, a number of particles perform independent random walk…

math.PR2009★ 1 cited

Projective convergence of columns for inhomogeneous products of matrices with nonnegative entries

Éric Olivier, Alain Thomas

Let $P_{n}$ be the $n$ -step right product $A_{1} \dots A_{n}$ , where $A_{1}, A_{2}, \dots$ is a given infinite sequence of $d \times d$ matrices with nonnegative entries. In a wide range of sit…

math.PR2009★ 3 cited

Can an infinite left-product of nonnegative matrices be expressed in terms of infinite left-products of stochastic ones?

Alain Thomas

If a left-product $M_{n} ... M_{1}$ of square complex matrices converges to a nonnull limit when $n \to \infty$ and if the $M_{n}$ belong to a finite set, it is clear that there exists an i…

math.PR2009

An upper bound for front propagation velocities inside moving populations

A. Gaudilliere, F. R. Nardi

We consider a two type (red and blue or $R$ and $B$ ) particle population that evolves on the $d$ -dimensional lattice according to some reaction-diffusion process $R + B \to 2 R$ and st…