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But it is not clear what effect that the perturbations have on the number of visited points, and it is not obvious that the excited random walk will visit n/ log n distinct points
on space C([0, T ], M1(E)), under the assumption that the mutation measure ν0 is not absolutely continuous with respect to the starting point µ of the process... This contradicts
In particular, we prove a strong approximation result for such a random walk which, in turn, enables us to establish strong limit theorems, like the joint Strassen type law of
Absolutely continuous stochastic process, mass transportation problem, Salisbury’s problem, Markov control, zero-noise
CENTRAL LIMIT THEOREMS FOR THE PRODUCTS OF RANDOM MATRICES SAMPLED BY A RANDOM WALK.. FR´ ED´ ERIQUE DUHEILLE-BIENVEN
We study the problem of directed polymers in gaussian environments in Z d from the viewpoint of a gaussian family indexed by the set of random walk paths.. In the zero-temperature
If a random walk characterized by conductances is started at the root of a tree, it is well known [3] that the escape probability equals the ratio of the effective conductance of
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
