We derive properties of the rate function in Varadhan's (annealed) large deviation principle
for multidimensional, ballistic random walk in random environment, in a certain …

In his 2003 paper, Varadhan proves the averaged large deviation principle for the mean
velocity of a particle taking a nearest-neighbor random walk in a uniformly elliptic iid …

Consider a random walk in a time-dependent random environment on the lattice Zd.
Recently, Rassoul-Agha, Sepp al ainen and Yilmaz [RSY11] proved a general large …

A random walk on a lattice is one of the most fun-damental models in probability theory.
When the random walk is inhomogenous and its inhomogeniety comes from an ergodic sta …

The topic of this thesis is random walks in a sparse random environment (RWSRE) on Z.
Basic asymptotic properties of this model were investigated by Matzavinos, Roitershtein and …

Firstly, we introduce ellipticity criteria for random walks in iid random environments, under
which we can extend the ballisticity conditions of Sznitman's and the polynomial effective …