Red mexicana de investigadores y estudiantes en estos
temas
Publicaciones recientes / Recent publications
Non classical convolutions/independences and
their infinite divisibility
·
Domínguez-Molina,
J.A.
The
Tracy-Widom distribution is not infinitely divisible
(in classical sense).
Statistics and
Probability Letters, To Appear (2017).
· Arizmendi, O., Hasebe, T.
Free Subordination and Belinschi-Nica Semigroup
Complex Analysis and Operator Theory, 10, 581-603 (2016).
· Arizmendi, O, Hasebe, T.
Classical Scale Mixtures
of Boolean Stable Laws
Transactions of the American Mathematical Society, 368, 4873-4905 (2016).
· Arizmendi, O., Vargas
C.
Norm convergence in non conmutative central limit theorems
Contemporary Mathematics, Volume 657, 237 pp. (2016).
· Arizmendi, O., Jaramillo,
A.
Convergence of the fourth moment and
infinite divisibility: quantitative estimates
Electronic Communications in Probability 19, 1-12 (2014).
· Arizmendi, O., Hasebe T.
Classical and free
infinite divisibility for Boolean stable laws.
Proceedings American Mathematical Society 142, no. 5, 1621–1632 (2014).
· Arizmendi, O. , Vargas C.
Limit theorems and infinite
divisibility in non-commutative probability.
Boletín Sociedad Matemática Mexicana (3) 19, no. 2, 139–157 (2013).
· Arizmendi, O.
Convergence of the fourth
moment and infinite divisibility
Probababiity and Mathematical Statistics. 33, no. 2,
201–212 (2013).
· Arizmendi, O., Belinschi S. T.
Free Infinite Divisibility for Ultrasphericals
Infinite Dimensional Analysis, Quantum Probability and Related Topics. Vol. 16,
No. 01 (2013).
· Arizmendi, O., Hasebe T., Sakuma N.
On the Law of free Subodinators
ALEA, Latin American Journal of Probability and Mathematical Statistics 10 (2),
271-291 (2013).
· Arizmendi, O., Hasebe T.
On a class of explicit
Cauchy-Stieltjes transforms related to monotone
stable and free Poisson laws.
Bernoulli 19 no. 5B, 2750–2767 (2013).
· Arizmendi, O., Hasebe T.
Semigroups related to Boolean and
free convolutions.
Studia Mathematica. 215,
no. 2, 157–185 (2013).
·
Sakuma, N., Pérez-Abreu V.
Free infinite divisibility of free multiplicative mixtures
of the Wigner distribution.
Journal of Theoretical Probability 25, 100-121 (2012).
· 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)
·
Sakuma, N.,
Pérez-Abreu V.
Free Generalized Gamma
Convolutions,
Electronic
Communications in Probability 13, 526-539
(2008).