12 citations · 14 across the 4 of their papers we have counts for
4 papers
Polynomial ballisticity conditions in mixing environments
Enrique Guerra, Glauco Valle, Maria Eulalia Vares
We prove ballistic behaviour as well as an annealed functional central limit theorem for random walks in mixing random environments (RWRE). The ballistic hypothesis will be an effe…
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…
Almost exponential decay for the exit probability from slabs of ballistic RWRE
Enrique Guerra, Alejandro F. Ramirez
It is conjectured that in dimensions any random walk in an i.i.d. uniformly elliptic random environment (RWRE) which is directionally transient is ballistic. The ballistic…