1 citations · 1 across the 9 of their papers we have counts for
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-transform in Finite Free Probability
Octavio Arizmendi, Katsunori Fujie, Daniel Perales +1
We present a simplified explanation of why free fractional convolution corresponds to the differentiation of polynomials, by finding how the finite free cumulants of a polynomial b…
The Cyclic Group and the Transpose of an R-cyclic matrix
Octavio Arizmendi, James A. Mingo
We show that using the cyclic group the transpose of an R-cyclic matrix can be decomposed along diagonal parts into a sum of parts which are freely independent over diagonal scalar…
Conditionally Free Reduced Products of Hilbert Spaces
Octavio Arizmendi, Miguel Ballesteros, Francisco Torres-Ayala
We present a product of pairs of pointed Hilbert spaces that, in the context of Bozėjko, Leinert and Speicher's theory of conditionally free probability, plays the role of the redu…