Octavio Arizmendi Echegaray picture of me

Dr. Octavio Arizmendi Echegaray

Investigador Titular "A", SNI: Nivel II

Página personal / Personal website
CIMAT, Apdo. Postal 402, Guanajuato, Gto. 36000, México
(52) (473) 27155 Ext 4501, Oficina I-19
Correo electrónico: octavius@cimat.mx


  1. Anshelevich, M., Arizmendi, O.
    The exponential map in non-commutative probability
    International Mathematical Research Notices. (2016) published online.

  2. Arizmendi,O, Hasebe, T.
    Classical Scale Mixtures of Boolean Stable Laws
    Transactions of the American Mathematical Society 368 (2016), 4873-4905

  3. Arizmendi, O., Nechita I., Vargas, C.
    On the asymptotic distribution of block-modified random matrices
    Journal of Mathematical Physics 57, 015216 (2016)

  4. Arizmendi, O., Gelasio, S.
    Large area convex holes in random points sets
    (2016) SIAM J. Discrete Math., 30(3), 1866–1875. (10 pages)

  5. Arizmendi, O., Hasebe, T.
    Free Subordination and Belinschi-Nica Semigroup
    Complex Analysis and Operator Theory 10 (2016), no. 3, 581–603.

  6. Arizmendi, O., Vargas, C.
    Norm convergence in Non-Commutative Central Limit Theorems: Combinatorial Approach.
    Contemporary Mathematics, Volume 657, 2016, 237 pp.

  7. Arizmendi, O., Gaxiola T.
    On the spectral distributions of distance $k$-graphs of free product graphs.
    Infinite Dimensional Analysis, Quantum Probability and Related Topics. 19, 1650017 (2016)

  8. Arizmendi O., Hasebe, T., Lehner, F., Vargas, C.
    Relations between cumulants in noncommutative probability
    Advances in Mathematics Volume 282, 10 September 2015, Pages 56–92

  9. Arizmendi, O, Gaxiola, T.
    Asymptotic spectral distributions of distance $ k $-graphs of star product graphs
    Progress in Probability, Vol. 69 (2015), XI Symposium on Probability and Stochastic Processes, 47-58

  10. Arizmendi, O., Jaramillo, A.
    Convergence of the fourth moment and infinite divisibility: quantitative estimates
    Electronic Communications in Probability (2014) 19, 1-12.

  11. Arizmendi, O., Hasebe T.
    Classical and free infinite divisibility for Boolean stable laws.
    Proc. Amer. Math. Soc. 142 (2014), no. 5, 1621–1632.

  12. Arizmendi, O. , Vargas C.
    Limit theorems and infinite divisibility in non-commutative probability.
    Bol. Soc. Mat. Mexicana (3) 19 (2013), no. 2, 139–157.

  13. Arizmendi, O.
    Convergence of the fourth moment and infinite divisibility
    Probab. Math. Statist. 33 (2013), no. 2, 201–212.

  14. Arizmendi, O., Belinschi S. T.
    Free Infinite Divisibility for Ultrasphericals
    Infinite Dimensional Analysis, Quantum Probability and Related Topics. March 2013, Vol. 16, No. 01.

  15. Arizmendi, O., Hasebe T., Sakuma N.
    On the Law of free Subodinators
    ALEA, Lat. Am. J. Probab. Math. Stat. 10 (2), 271-291 (2013)

  16. Arizmendi, O., Hasebe T.
    On a class of explicit Cauchy-Stieltjes transforms related to monotone stable and free Poisson laws.
    Bernoulli 19 (2013), no. 5B, 2750–2767.

  17. Arizmendi, O., Hasebe T.
    Semigroups related to Boolean and free convolutions.
    Studia Math. 215 (2013), no. 2, 157–185.

  18. Arizmendi, O.
    Statistics of blocks in k-divisible non-crossing partitions
    Electronic. J. Combin. 19 (2), Research Paper 47, (electronic) (2012)

  19. Arizmendi, O., Vargas C.
    Products of free random variables and k-divisible non-crossing partitions
    Electron. Commun. Probab. 17 (2012) no. 11, 13 pp.

  20. 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).

  21. 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.

  22. 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).


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