46 citations · 128 across the 37 of their papers we have counts for
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math.PR2017★ 5 cited
Limit theorems for free Lévy processes
Octavio Arizmendi, Takahiro Hasebe
We consider different limit theorems for additive and multiplicative free Lévy processes. The main results are concerned with positive and unitary multiplicative free Lévy processe…
math.PR2017
A Berry Esseen type limit theorem for Boolean convolution
Octavio Arizmendi, Mauricio Salazar
We give estimates on the rate of convergence in the Boolean central limit theorem for the Lévy distance. In the case of measures with bounded support we obtain a sharp estimate by…
math.OA2017
Subordination methods for free deconvolution
Octavio Arizmendi, Pierre Tarrago, Carlos Vargas
In this paper, we give subordination functions for free additive and free multiplicative deconvolutions in some domain of the complex half-plane, under the condition that the distr…