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de Acosta, Large deviations for vector valued additive functionals of a Markov process: Lower bounds.. Ney, Large deviation lower bounds for arbitrary additive functionals of a
Note that also in the time inhomogeneous case the time dependent Dirichlet form is controlled, uniformly in time, by the Dirichlet form of the simple random walk, and therefore
The first example of a family of bounded-degree graphs where the random walk exhibits cutoff in total-variation was provided only very recently, when the authors showed this for
In the next section basic properties on subexponentiality are presented and a new result (Lemma 2.4) on the limiting behavior of the convolution of an subexpo- nential and a
In the following we give a short description of the standard branching random walk, its intrinsic martingales and an associated multiplicative random walk.. Consider a
We emphasise that the scaling limit of the kinetic prudent walk seems to be different from the scaling limit of the uniform prudent walk studied in Combinatorics... The inset is
In- deed, one operates first a time change to bring up the fact that the random walk viewed only on a strong cluster (i.e. constituted of edges of order 1) has a standard
An Unsteady motion of a viscous liquid with uniform distribution of dust particles under the influence of time dependent pressure gradient through a channel having
