We consider the exclusion process in the one-dimensional discrete torus with N points,
where all the bonds have conductance one, except a finite number of slow bonds, with …

We consider a stationary and ergodic random field {ω(b):b∈E_d\} parameterized by the
family of bonds in Z^d, d≧2. The random variable ω(b) is thought of as the conductance of …

In this paper, we introduce a random environment for the exclusion process in Z d obtained
by assigning a maximal occupancy to each site. This maximal occupancy is allowed to …

We analyze the equilibrium fluctuations of density, current and tagged particle in symmetric
exclusion with a slow bond. The system evolves in the one-dimensional lattice and the jump …

We consider continuous-time random walks on a random locally finite subset of R d with
random symmetric jump probability rates. The jump range can be unbounded. We assume …

Fix a strictly increasing right continuous with left limits function W: R → R and a smooth
function Φ: l, r →\mathbb R, defined on some interval l, r of\mathbb R, such that 0< b\leqq …

In this paper, we study Bouchaud's trap model on the discrete d-dimensional torus
T^d_n=(Z/nZ)^d. In this process, a particle performs a symmetric simple random walk, which …

We consider the symmetric simple exclusion processes with a slow site in the discrete torus
with n sites. In this model, particles perform nearest-neighbor symmetric random walks with …

We consider the one-dimensional symmetric simple exclusion process with a slow bond. In
this model, whilst all the transition rates are equal to one, a particular bond, the slow bond …

Consider a random walk on Z d in a translation-invariant and ergodic random environment
and starting from the origin. In this short note, assuming that a quenched invariance principle …