29 citations · 104 across the 60 of their papers we have counts for
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math.PR2007★ 2 cited
Generating functions of Cauchy-Stieltjes type for orthogonal polynomials
Marek Bozejko, Nizar Demni
We characterize by the use of free probability the family of measures for which the mulitiplicative renormalization method applies with $h(x) = (1-x)^_{-1}$. This provides a repres…
math.PR2007
Free Martingale polynomials for stationary Jacobi processes
Nizar Demni
We generalize a previous result concerning free martingale polynomials for the stationary free Jacobi process of parameters . Hopelessly, apart from the case $λ…
math.PR2007★ 6 cited
Radial Dunkl Processes : Existence and uniqueness, Hitting time, Beta Processes and Random Matrices
Nizar Demni
We begin with the study of some properties of the radial Dunkl process associated to a reduced root system . It is shown that this diffusion is the unique strong solution for al…