4 citations · 8 across the 6 of their papers we have counts for
5 papers · 1 filter
Limit theorem for random walk in weakly dependent random scenery
Nadine Guillotin-Plantard, Clémentine Prieur
Let be a random walk on and a stationary random sequence of centered random variables, independent of . We consider…
Discrete approximation of a stable self-similar stationary increments process
Clément Dombry, Nadine Guillotin-Plantard
The aim of this paper is to present a result of discrete approximation of some class of stable self-similar stationary increments processes. The properties of such processes were i…
Central limit theorem for sampled sums of dependent random variables
Nadine Guillotin-Plantard, Clémentine Prieur
We prove a central limit theorem for linear triangular arrays under weak dependence conditions. Our result is then applied to the study of dependent random variables sampled by a $…
A functional limit theorem for a 2D-random walk with dependent marginals
Nadine Guillotin-Plantard, Arnaud Le Ny
We prove a non-standard functional limit theorem for a two dimensional simple random walk on some randomly oriented lattices. This random walk, already known to be transient, has d…
Random walks on FKG-horizontally oriented lattices
Nadine Guillotin-Plantard, Arnaud Le Ny
We study the asymptotic behavior of the simple random walk on oriented version of . The considered latticesare not directed on the vertical axis but unidirectional on…