122 citations · 219 across the 12 of their papers we have counts for
11 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_…
Fluid limit for the coarsening phase of the condensing zero-range process
Inés Armendáriz, Johel Beltrán, Daniela Cuesta +1
We prove a fluid limit for the coarsening phase of the condensing zero-range process on a finite number of sites. When time and occupation per site are linearly rescaled by the tot…
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…
Quadrangulations with no pendant vertices
Johel Beltran, Jean-François Le Gall
We prove that the metric space associated with a uniformly distributed planar quadrangulation with n faces and no pendant vertices converges modulo a suitable rescaling to the Brow…
A Martingale approach to metastability
J. Beltrán, C. Landim
We presented in \cite{bl2,bl7} an approach to derive the metastable behavior of continuous-time Markov chains. We assumed in these articles that the Markov chains visit points in t…
Tunneling and Metastability of continuous time Markov chains II, the nonreversible case
J. Beltrán, C. Landim
We proposed in \cite{bl2} a new approach to prove the metastable behavior of reversible dynamics based on potential theory and local ergodicity. In this article we extend this theo…
Metastability of reversible finite state Markov processes
Johel Beltran, Claudio Landim
We prove the metastable behavior of reversible Markov processes on finite state spaces under minimal conditions on the jump rates. To illustrate the result we deduce the metastable…
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…
Tunneling and Metastability of continuous time Markov chains
Johel Beltrán, Claudio Landim
We propose a new definition of metastability of Markov processes on countable state spaces. We obtain sufficient conditions for a sequence of processes to be metastable. In the rev…
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…