• [16] D. Perales, Z. Yang.

Asymptotic root distribution of polynomials under repeated polar differentiation.

arXiv:2508.18575  

• [15] D. Muñoz George, D. Perales.

Second order free cumulants: product, commutator, and anti-commutator.

arXiv:2507.21031 

• [14] A. Martinez-Finkelshtein, R. Morales, D. Perales. 

Zeros of orthogonal little q-Jacobi polynomials: interlacing and monotonicity.

To appear in Proceedings of the American Mathematical Society. arXiv:2506.05492

• [13] O. Arizmendi, D. Perales, J. Vazquez-Becerra.

Finite Free Convolution: Infinitesimal Distributions.

arXiv:2505.01705

• [12] J. Campbell, R. Morales, D. Perales.

Even Hypergeometric Polynomials and Finite Free Commutators.

To appear in Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). arXiv:2502.00254

• [11] O. Arizmendi, K. Fujie, D. Perales, Y. Ueda.

S-transform in Finite Free Probability.

arXiv:2408.09337

• [10] A. Martinez-Finkelshtein, R. Morales, D. Perales. 

Zeros of generalized hypergeometric polynomials via finite free convolution. Applications to multiple orthogonality.

Constructive Approximation (2025), arXiv:2404.11479

• [9] A. Martinez-Finkelshtein, R. Morales, D. Perales. 

Real roots of hypergeometric polynomials via finite free convolution.

International Mathematics Research Notices, Vol 2024, Issue 16, pgs 11642–11687 August (2024). arXiv:2309.10970

• [8] O. Arizmendi, J. Garza-Vargas, D. Perales.  

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.  

Multiplicative and semi-multiplicative functions on non-crossing partitions, and relations to cumulants.

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