Local limit theorems on some non unimodular groups.

We reveal a shape transition for a transient simple random walk forced to realize an excess -norm of the local times, as the parameter crosses the value ()=/(−2). Also, as an application of our approach, we establish a central limit theorem for the -norm of the local times in dimension 4 or more.

On mean central limit theorems for stationary sequences

Jérôme Dedecker, Emmanuel Rio (2008)

Annales de l'I.H.P. Probabilités et statistiques

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In this paper, we give estimates of the minimal $𝕃^{1}$ distance between the distribution of the normalized partial sum and the limiting gaussian distribution for stationary sequences satisfying projective criteria in the style of Gordin or weak dependence conditions.

Minimal cyclic random motion in $R^{n}$ and hyper-Bessel functions

A. Lachal, S. Leorato, E. Orsingher (2006)

Annales de l'I.H.P. Probabilités et statistiques

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