Publications
[10] A. Martinez-Finkelshtein, R. Morales, D. Perales.
Zeros of generalized hypergeometric polynomials via finite free convolution. Applications to multiple orthogonality.
[9] A. Martinez-Finkelshtein, R. Morales, D. Perales.
Real roots of hypergeometric polynomials via finite free convolution.
To appear in International Mathematics Research Notices. arXiv:2309.10970
Finite Free Cumulants: Multiplicative Convolutions, Genus Expansion and Infinitesimal Distributions.
Transactions of the American Mathematical Society, 76, 06: 4383-4420, (2023). arXiv:2108.08489.
[7] A. Celestino, K. Ebrahimi-Fard, A. Nica, D. Perales, L. Witzman.
Advances in Applied Mathematics, 145, 102481 (2023). arXiv:2106.16072.
[6] D. Perales.
On the anti-commutator of two free random variables.
Indiana University Mathematical Journal, 72:1867–1908, (2023). arXiv:2101.09444.
[5] D. Perales, P.L. Tseng.
On operator-valued infinitesimal Boolean and monotone independence.
Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol 24(03), article 2150019 (2021). arXiv:2010.15286.
[4] A. Celestino, K. Ebrahimi-Fard, F. Patras, D. Perales.
Cumulant-cumulant relations in free probability theory from Magnus’ expansion.
Foundations of Computational Mathematics (2021). arXiv:2004.10152.
[3] A. Celestino, K. Ebrahimi-Fard, D. Perales.
Relations between infinitesimal non-commutative cumulants.
Documenta Mathematica 26:1145-1185, (2021). arXiv:1912.04931.
[2] O. Arizmendi, D. Perales.
A Berry–Esseen Type Theorem for Finite Free Convolution.
In XIII Symposium on Probability and Stochastic Processes, Birkhäuser, Cham 67-76, (2020). arXiv:2310.1548
[1] O. Arizmendi, D. Perales
Cumulants for finite free convolution.
Journal of Combinatorial Theory, Series A, 155, 244-266, (2018). arXiv:1611.06598
Talks
Upcoming: Random Matrices and Free Probability session in IWOTA, University of Kent, August 2024
Upcoming: Orthogonal Polynomials and Special Functions session in IWOTA, University of Kent, August 2024
Upcoming: Young Mathematicians in $C^*$-Algebras, University of Glasgow, (lightning talk), August 5, 2024
Seminar in Operator Theory and Operator Algebras, University of Virginia, April 30, 2024
Random Matrices and Free Probility Theory, MAA Rocky Mountain Section meeting, Colorado Springs, April 19, 2024
Probability Seminar, Warsaw University of Technology, 90min (online), January 24, 2024.
Quantum Information Theory and Free Probability, NYU Abu Dhabi, United Arab Emirates, 40min, January 12, 2024.
Probabilistic Operator Algebra Seminar, UC Berkeley, 50min (online), November 20, 2023.
Probability Seminar, CIMAT Mexico, 50min, October 9, 2023
Young Mathematicians in C*-Algebras, KU Leuven, Belgium, 3min, August 7, 2023
Free Probability Theory and Random Matrices, Hokkaido University of Education, Japan, 50min, June 2023
Baylor Analysis Seminar, Baylor University, USA, 50min, February 2023.
Random Matrices and Free Probability Learning Seminar, Baylor University, 50min, February 2023.
Free Probability and Operators Seminar, (3 talks) Texas A&M University, USA, 50min, October 2022.
Summer School on Free Probability, Random Matrices, and Applications, University of Wyoming, USA, 30min, June 2022.
Algebra and Combinatorics Seminar, Texas A&M University, USA, 50min, May 2022.
Seminar on Free Probability and Random Matrices, Queen’s University, 50min (online), February 2022.
Discussant at Topological Recursion and Combinatorics mini-workshop, 15 min (online), November 2021.
Probabilistic Operator Algebra Seminar, UC Berkeley, 50min (online), October 2021.
Analysis Student Seminar, University of Waterloo, 50min (online), July 2021.
Seminario de Probabilidad Hispanohablante, 10min (online), May 2021.
Probability Seminar, Warsaw University of Technology, 90min (online), April 2021.
Analysis Seminar, University of Wyoming, 50min (online), April 2021.
Pure Math Grad Colloquium, University of Waterloo, 50min (online), September 2020.
Seminar on Free Probability and Random Matrices, Queen’s University, Canada, 90min, March 2020.
Random Matrices Learning Seminar, University of Waterloo, 50min November 2018.
Posters
Poster at Random Matrices and Applications, RIMS, Kyoto, Japan. June 2023
SIMA (Inter-Institutional Seminar in Random Matrices), CIMAT, Mexico. November 2017.
CIMAT-UA Workshop at University of Arizona, USA. March 2017.