Dr. Octavio Arizmendi Echegaray

Publications

Arizmendi, O. , Vargas C.
Supeconvergence in non-commutative Central Limit Theorems: Combinatorial Approach
preprint (2013)
Arizmendi, O.
Convergence of the fourth moment and infinite divisibility
to appear in Probability and Mathematical Statistics
Arizmendi, O., Belinschi S. T.
Free Infinite Divisibility for Ultrasphericals
to appear in Infinite Dimensional Analysis, Quantum Probability and Related Topics
Arizmendi, O., Hasebe T.
On Boolean Stable Laws
to appear in Proceedings of American Mathematical Society
Arizmendi, O., Hasebe T., Sakuma N.
On the Law of free Subodinators
ALEA, Lat. Am. J. Probab. Math. Stat. 10 (2), 271-291 (2013)
Arizmendi, O.
k-divisible random variables in free probability
arXiv: 1203.4780. (2012)
Arizmendi, O.
Statistics of blocks in k-divisible non-crossing partitions
Electronic. J. Combin. 19 (2), Research Paper 47, (electronic) (2012)
Arizmendi, O., Vargas C.
Products of free random variables and k-divisible non-crossing partitions
Electron. Commun. Probab. 17 (2012)
Arizmendi, O., Hasebe T.
On a class of explicit Cauchy-Stieltjes transforms related to monotone stable and free Poisson laws.
to appear in Bernoulli.
Arizmendi, O., Hasebe T.
Semigroups related to Boolean and free convolutions.
To appear in Studia Mathematica
Arizmendi, O., Barndorff-Nielsen, O., Pérez-Abreu, V.
On free and classical type G distributions
Brazilian Journal of Probability and Statistics 24, 106-127. (2010).
Arizmendi, O., Pérez-Abreu, V.
On the non-classical infinite divisibility of power semicircle distributions
Communications on Stochastic Analysis 4, 161-178. (2010). In honor of Gopinath Kallianpur.
Arizmendi, O., Pérez-Abreu, V.
The S-transform for symmetric probability measures with unbounded supports
Proceedings of the American Mathematical Society 137, 3057-3066 (2009).

coming soon...
Arizmendi, O., Mingo J. A.
Second Order Even and R-diagonal Operators
In preparation

Publications of the other members of the research group

updated: 02 April 2013 Octavio Arizmendi