3 citations · 4 across the 3 of their papers we have counts for
4 papers · 1 filter
Ballisticity conditions for random walk in random environment
Alexander Drewitz, Alejandro F. Ramírez
Consider a random walk in a uniformly elliptic i.i.d. random environment in dimensions . In 2002, Sznitman introduced for each the ballisticity conditions $(T)…
Front propagation in an exclusion one-dimensional reactive dynamics
Milton Jara, Gregorio Moreno, Alejandro F. Ramirez
We consider an exclusion process representing a reactive dynamics of a pulled front on the integer lattice, describing the dynamics of first class particles moving as a simple…
Fluctuations of the front in a one dimensional model of X+Y-->2X
Francis Comets, Jeremy Quastel, Alejandro Ramirez
We consider a model of the reaction on the integer lattice in which particles do not move while particles move as independent continuous time, simple symmetric…
Transition asymptotics for reaction-diffusion in random media
Gerard Ben Arous, Stanislav Molchanov, Alejandro F. Ramirez
We describe a universal transition mechanism characterizing the passage to an annealed behavior and to a regime where the fluctuations about this behavior are Gaussian, for the lon…