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In this talk we will explain recent results with Daniel Perales where we define cumulants for finite free convolution. We give a moment-cumulant formula and show that these cumulants satisfy desired properties: they are additive with respect to finite free convolution and they approach free cumulants as the dimension goes to infinity.Non UBCUnreviewedAuthor affiliation: Centro de Investigacion en Matematicas (Guanajuato-Mexico)Facult
International audienceRandom matrix and free probability theory have many fruitful applications in m...
AbstractA combinatorial formula is derived which expresses free cumulants in terms of classical cumu...
This paper introduces a simple and computationally efficient algorithm for conversion formulae betwe...
In this talk we will explain recent results with Daniel Perales where we define cumulants for finite...
We provide a unifying polynomial expression giving moments in terms of cumulants, and vice versa, ho...
AbstractWe provide a unifying polynomial expression giving moments in terms of cumulants, and vice v...
International audienceThe ∆-convolution of real probability measures, introduced by Bo˙ zejko, gener...
Let P be the set of all probability measures on R possessing moments of every order. Consider P as a...
International audienceFree cumulants were introduced as the proper analog of classical cumulants in ...
International audienceFree cumulants were introduced by Speicher as a proper analog of classical cum...
The goal of this paper is to present and prove a cumulant-moment recurrent relation formula in free ...
We define two families of deformations of probability measures depending on the second free cumulant...
In the present paper we define the notion of generalized cumulants which gives a universal framework...
We establish the functional relations between generating series of higher order free cumulants and m...
Computations with cumulants are becoming easier through the use of computer algebra but there remain...
International audienceRandom matrix and free probability theory have many fruitful applications in m...
AbstractA combinatorial formula is derived which expresses free cumulants in terms of classical cumu...
This paper introduces a simple and computationally efficient algorithm for conversion formulae betwe...
In this talk we will explain recent results with Daniel Perales where we define cumulants for finite...
We provide a unifying polynomial expression giving moments in terms of cumulants, and vice versa, ho...
AbstractWe provide a unifying polynomial expression giving moments in terms of cumulants, and vice v...
International audienceThe ∆-convolution of real probability measures, introduced by Bo˙ zejko, gener...
Let P be the set of all probability measures on R possessing moments of every order. Consider P as a...
International audienceFree cumulants were introduced as the proper analog of classical cumulants in ...
International audienceFree cumulants were introduced by Speicher as a proper analog of classical cum...
The goal of this paper is to present and prove a cumulant-moment recurrent relation formula in free ...
We define two families of deformations of probability measures depending on the second free cumulant...
In the present paper we define the notion of generalized cumulants which gives a universal framework...
We establish the functional relations between generating series of higher order free cumulants and m...
Computations with cumulants are becoming easier through the use of computer algebra but there remain...
International audienceRandom matrix and free probability theory have many fruitful applications in m...
AbstractA combinatorial formula is derived which expresses free cumulants in terms of classical cumu...
This paper introduces a simple and computationally efficient algorithm for conversion formulae betwe...
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