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20022008
most citedEnumerative properties of generalized associahedra

53 citations

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8 papers · 1 filter

math.PR20086 cited

An example of Brunet-Derrida behavior for a branching-selection particle system on

Jean Bérard

We consider a branching-selection particle system on with particles. During a branching step, each particle is replaced by two new particles, whose positions are sh…

math.PR2008

Limit theorem for random walk in weakly dependent random scenery

Nadine Guillotin-Plantard, Clémentine Prieur

Let be a random walk on and a stationary random sequence of centered random variables, independent of . We consider…

math.PR2008

Large Deviations of the Front in a one dimensional model of

Jean Bérard, Alejandro Ramírez

We investigate the probabilities of large deviations for the position of the front in a stochastic model of the reaction on the integer lattice in which particles…

math.PR20084 cited

Discrete approximation of a stable self-similar stationary increments process

Clément Dombry, Nadine Guillotin-Plantard

The aim of this paper is to present a result of discrete approximation of some class of stable self-similar stationary increments processes. The properties of such processes were i…

math.PR20072 cited

Central limit theorem for sampled sums of dependent random variables

Nadine Guillotin-Plantard, Clémentine Prieur

We prove a central limit theorem for linear triangular arrays under weak dependence conditions. Our result is then applied to the study of dependent random variables sampled by a $…

math.PR20071 cited

Coupling times with ambiguities for particle systems and applications to context-dependent DNA substitution models

Jean Bérard, Didier Piau

We define a notion of coupling time with ambiguities for interacting particle systems, and show how this can be used to prove ergodicity and to bound the convergence time to equili…