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

Guy Cohen; Jean-Pierre Conze

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arXiv · 1908.03777

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

Guy Cohen·Jean-Pierre Conze

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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.

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Guy Cohen, Jean-Pierre Conze. 2019-08-10. On the quenched functional CLT in 2d random sceneries, examples. https://arxiv.org/abs/1908.03777

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