46 citations · 128 across the 37 of their papers we have counts for
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math.CO2016
Cumulants for finite free convolution
Octavio Arizmendi, Daniel Perales
In this paper 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 re…
math.CO2016
On the spectral distributions of distance-k graph of free product graphs
Octavio Arizmendi, Tulio Gaxiola
We calculate the distribution with respect to the vacuum state of the distance- graph of a -regular tree. From this result we show that the distance- graph of a -regula…
math.PR2016
The exponential map in non-commutative probability
Michael Anshelevich, Octavio Arizmendi
The wrapping transformation is a homomorphism from the semigroup of probability measures on the real line, with the convolution operation, to the semigroup of probability measu…