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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.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…