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math.PR2011
Analysis of generalized probability distributions associated with higher Landau levels
Nizar Demni, Zouhair Mouayn
To a higher Landau Level corresponds a generalization of the Poisson distribution arising from generalized coherent states. In this paper, we write down the atomic decomposition of…
math.OA2011
Spectral distribution of the free unitary Brownian motion: another approach
Nizar Demni, Taoufik Hmidi
We revisit the description provided by Ph. Biane of the spectral measure of the free unitary Brownian motion. We actually construct for any a Jordan curve aroun…
math.PR2011
Brownian motion, reflection groups and Tanaka formula
Nizar Demni, Dominique Lépingle
In the setting of finite reflection groups, we prove that the projection of a Brownian motion onto a closed Weyl chamber is another Brownian motion normally reflected on the walls…