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Random walks in Dirichlet environment: an overview
Random Walks in Dirichlet Environment (RWDE) correspond to Random Walks in Random
Environment (RWRE) on Zd where the transition probabilities are iid at each site with a …
Environment (RWRE) on Zd where the transition probabilities are iid at each site with a …
Variance decay for functionals of the environment viewed by the particle
For the random walk among random conductances, we prove that the environment viewed
by the particle converges to equilibrium polynomially fast in the variance sense, our main …
by the particle converges to equilibrium polynomially fast in the variance sense, our main …
A quenched invariance principle for non-elliptic random walk in iid balanced random environment
We consider a random walk on Z^ d,\d ≥ 2, in an iid balanced random environment, that is a
random walk for which the probability to jump from x ∈ Z^ d to nearest neighbor x+ e is the …
random walk for which the probability to jump from x ∈ Z^ d to nearest neighbor x+ e is the …
Quenched and averaged large deviations for random walks in random environments: The impact of disorder
In 2003, Varadhan (Comm. Pure Appl. Math. 56 (2003) 1222–1245) developed a robust
method for proving quenched and averaged large deviations for random walks in a …
method for proving quenched and averaged large deviations for random walks in a …
Almost sure functional central limit theorem for ballistic random walk in random environment
We consider a multidimensional random walk in a product random environment with
bounded steps, transience in some spatial direction, and high enough moments on the …
bounded steps, transience in some spatial direction, and high enough moments on the …
Large deviations of quenched and annealed random walk in mixing random environment
J Chen - arxiv preprint arxiv:2409.06581, 2024 - arxiv.org
In this work, we establish the existence of large deviation principles of random walk in
strongly mixing environments. The quenched and annealed rate functions have the same …
strongly mixing environments. The quenched and annealed rate functions have the same …
Local limit theorem and equivalence of dynamic and static points of view for certain ballistic random walks in iid environments
N Berger, M Cohen, R Rosenthal - 2016 - projecteuclid.org
In this work, we discuss certain ballistic random walks in random environments on Z^d, and
prove the equivalence between the static and dynamic points of view in dimension d\geq4 …
prove the equivalence between the static and dynamic points of view in dimension d\geq4 …
Random Dirichlet environment viewed from the particle in dimension
C Sabot - 2013 - projecteuclid.org
We consider random walks in random Dirichlet environment (RWDE), which is a special type
of random walks in random environment where the exit probabilities at each site are iid …
of random walks in random environment where the exit probabilities at each site are iid …
Limit theorem for subdiffusive random walk in Dirichlet random environment in dimension
A Perrel - arxiv preprint arxiv:2404.06502, 2024 - arxiv.org
We consider random walk in Dirichlet random environment in ${\mathbf {Z}^ d, d\ge 3} $,
which corresponds to the case where the environment is constructed from iid transition …
which corresponds to the case where the environment is constructed from iid transition …
Equality of averaged and quenched large deviations for random walks in random environments in dimensions four and higher
We consider large deviations for nearest-neighbor random walk in a uniformly elliptic iid
environment. It is easy to see that the quenched and the averaged rate functions are not …
environment. It is easy to see that the quenched and the averaged rate functions are not …