4 citations · 10 across the 5 of their papers we have counts for
5 papers
Dimension-decaying diffusion processes as the scaling limit of condensing zero-range processes
Johel Beltrán, Kyuhyeon Choi, Claudio Landim
In this article, we prove that, on the diffusive time scale, condensing zero-range processes converge to a dimension-decaying diffusion process on the simplex \[ Σ= \{(x_1,\dots,x_…
From coalescing random walks on a torus to Kingman's coalescent
J. Beltrán, E. Chavez, C. Landim
Let , , be the discrete -dimensional torus with points. Place a particle at each site of and let them evolve as independent, neare…
A martingale problem for an absorbed diffusion: the nucleation phase of condensing zero range processes
J. Beltrán, M. Jara, C. Landim
We prove uniqueness of a martingale problem with boundary conditions on a simplex associated to a differential operator with an unbounded drift. We show that the solution of the ma…
Metastability of reversible condensed zero range processes on a finite set
Johel Beltran, Claudio Landim
Let $r: S\times S\to \bb R_+$ be the jump rates of an irreducible random walk on a finite set , reversible with respect to some probability measure . For , let $g: \bb N…
Meta-stability and condensed zero-range processes on finite sets
J. Beltran, C. Landim
We propose a definition o meta-stability and obtain sufficient conditions for a sequence of Markov processes on finite state spaces to be meta-stable. In the reversible case, these…