46 citations · 128 across the 37 of their papers we have counts for
4 papers · 1 filter
Asymptotic spectral distributions of distance -graphs of star product graphs
Octavio Arizmendi, Tulio Gaxiola
Let be a finite connected graph and let be the distance -graph of the -fold star power of . For a fixed , we show that the large limit of…
Relations between cumulants in noncommutative probability
Octavio Arizmendi, Takahiro Hasebe, Franz Lehner +1
We express classical, free, Boolean and monotone cumulants in terms of each other, using combinatorics of heaps, pyramids, Tutte polynomials and permutations. We completely determi…
Free Subordination and Belinschi-Nica Semigroup
Octavio Arizmendi, Takahiro Hasebe
We realize the Belinschi-Nica semigroup of homomorphisms as a free multiplicative subordination. This realization allows to define more general semigroups of homomorphisms with res…
Convergence of the Fourth Moment and Infinite Divisibility: Quantitative estimates
Octavio Arizmendi, Arturo Jaramillo
We give an estimate for the Kolmogorov distance between an infinitely divisible distribution (with mean zero and variance one) and the standard Gaussian distribution in terms of th…