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20022008
most citedTransition between Airy_1 and Airy_2 processes and TASEP fluctuations

106 citations

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10 papers · 1 filter

math.PR200881 cited

A modified lookdown construction for the Xi-Fleming-Viot process with mutation and populations with recurrent bottlenecks

Matthias Birkner, Jochen Blath, Martin Moehle +2

Let be a finite measure on the unit interval. A -Fleming-Viot process is a probability measure valued Markov process which is dual to a coalescent with multiple collisions (…

math.PR20081 cited

Sharp asymptotics for metastability in the random field Curie-Weiss model

A. Bianchi, A. Bovier, D. Ioffe

In this paper we study the metastable behavior of one of the simplest disordered spin system, the random field Curie-Weiss model. We will show how the potential theoretic approach…

math.PR200863 cited

Energy transport in stochastically perturbed lattice dynamics

Giada Basile, Stefano Olla, Herbert Spohn

We consider lattice dynamics with a small stochastic perturbation of order ε and prove that for a space-time scale of order \varepsilon\^-1 the local spectral density (Wigner…

math.PR2007

Glauber dynamics on nonamenable graphs: Boundary conditions and mixing time

Alessandra Bianchi

We study the stochastic Ising model on finite graphs with n vertices and bounded degree and analyze the effect of boundary conditions on the mixing time. We show that for all low e…

math.PR200714 cited

Survival and complete convergence for a spatial branching system with local regulation

Matthias Birkner, Andrej Depperschmidt

We study a discrete time spatial branching system on with logistic-type local regulation at each deme depending on a weighted average of the population in neighborin…

math.PR200718 cited

A functional CLT for the occupation time of a state-dependent branching random walk

Matthias Birkner, Iljana Zähle

We show that the centred occupation time process of the origin of a system of critical binary branching random walks in dimension , started off either from a Poisson field…