45 citations · 119 across the 18 of their papers we have counts for
20 papers
Quenched and averaged large deviation rate functions for random walks in random environments: the impact of disorder
Rodrigo Bazaes, Chiranjib Mukherjee, Alejandro Ramirez +1
In 2003, Varadhan [V03] developed a robust method for proving quenched and averaged large deviations for random walks in a uniformly elliptic and i.i.d. environment (RWRE) on $\mat…
A proof of Sznitman's conjecture about ballistic RWRE
Enrique Guerra, Alejandro F. Ramírez
We consider a random walk in a uniformly elliptic i.i.d. random environment in for . It is believed that whenever the random walk is transient in a given dire…
Asymptotic direction for random walks in mixing random environments
Enrique Guerra, Alejandro F. Ramírez
We prove that every random walk in a uniformly elliptic random environment satisfying the cone mixing condition and a non-effective polynomial ballisticity condition with high enou…
Random walk in the low disorder ballistic regime
Alejandro F. Ramirez
We consider a random walk in which jumps from a site to a nearest neighboring site (where ) with probability $p_0(e)+ε…
Asymptotic expansion of the invariant measure for ballistic random walk in the low disorder regime
David Campos, Alejandro F. Ramirez
We consider a random walk in random environment in the low disorder regime on . That is, the probability that the random walk jumps from a site to a nearest neighb…
Quenched invariance principle for random walk in time-dependent balanced random environment
Jean-Dominique Deuschel, Xiaoqin Guo, Alejandro F. Ramirez
We prove a quenched central limit theorem for balanced random walks in time dependent ergodic random environments which is not necessarily nearest-neigbhor. We assume that the envi…