arXiv:1908.03777 Abstract | arXiv Analytics

arXiv:1908.03777 [math.PR]Abstract References Reviews Resources

On the quenched functional CLT in 2d random sceneries, examples

Published 2019-08-10Version 1

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.

Categories: math.PR

Subjects: 60F05, 28D05, 22D40, 60G50, 47B15, 37A25, 37A30

Keywords: random scenery, 2d random sceneries, quenched functional clt, quenched functional central limit theorem, second order moment

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