On the quenched functional CLT in 2d random sceneries, examples
Probability
2019-08-13 v1
Abstract
We prove a quenched functional central limit theorem (quenched FCLT) for the sums of a random field (r.f.) along a 2d-random walk in different situations: when the r.f. is iid with a second order moment (random sceneries), or when it is generated by the action of commuting automorphisms of a torus. We consider also a quenched version of the FCLT when the random walk is replaced by a Lorentz process in the random scenery.
Cite
@article{arxiv.1908.03777,
title = {On the quenched functional CLT in 2d random sceneries, examples},
author = {Guy Cohen and Jean-Pierre Conze},
journal= {arXiv preprint arXiv:1908.03777},
year = {2019}
}