University of Puerto Rico    (787) 764 0000

    Publications 2018

    1. F. N. Castro, R. Chapman, L. A. Medina and L. B. Sepúlveda. Recursions associated to trapezoid, symmetric and rotation symmetric functions over Galois fields. Discrete Mathematics, 341(7), 2018, 1915–1931.
    2. Francis N. Castro, Oscar E. Gonzalez and Luis A. Medina. Generalized exponential sums and the power of computers. Involve 11(1) (2018), 127–142.
    3. Francis N. Castro, Oscar E. González and Luis A. Medina. Diophantine equations with binomial coefficients and perturbations of symmetric Boolean functions. IEEE Trans. Inf. Theory, 64(2), 2018, 1347-1360.
    4. Francis N. Castro, Luis A. Medina and Ivelisse Rubio. Exact 2-Divisibility of Exponential Sums of Associated to Boolean Functions. Cryptography and Communications, 10(4), 2018, 655-666.
    5. R. Arce-Nazario, F. N. Castro, O. E. González, L. A. Medina and I. Rubio. New families of balanced symmetric functions and a generalization of Cusick, Li and Stanica’ s conjecture.
      Designs, Codes and Cryptography, 86 (2018), 693 — 701.
    6. Francis N. Castro and Luis A. Medina. Hadamard matrices and the spectrum of quadratic symmetric polynomials over finite fields. Linear Algebra and its Applications 549 (2018) 153–175.
    7. Keyantuo V., R. Aparicio, Well-posedness of a class of degenerate integro-differential equations in function spaces., Electronic J. Differential Equations, Vol. 2018 (2018), No. 79, pp. 1-31.
    8. Liangqing Li, G. Gong, C. Jiang and C. Pasnicu. A reduction theorem for AH algebras with the ideal property, International Mathematics Research Notices, IMRN 2018, no. 24, 7606–7641.
    9. D. Vargas Robles, M. Magris, N. Morales, M. de Koning, I. Rodriguez, T. Nieves, F. Godoy-Vitorino, G. Sánchez, L. Alcaraz, L.Y Forney, M.E. Pérez, L. García-Briceño, L. van Doorn, and M.G. Dominguez Bello (2018) “High infection by only oncogenic Human Papillomavirus in Amerindians”. mSphere 3 (3), e00176-18 DOI: 10.1128/mSphere.00176-18
    10. Cruz, J. & Pericchi, L. (2018). Sequential Bayesian tests and the independence hypothesis or naive Bayes. Rev. Fac. Cienc., Univ. Nacional de Colombia, Medellin, 7(1), 112-123. DOI: https://doi.org/10.15446/rev.fac.cienc.v7n1.67107
    11. Mahamadi Warma (with W.Arendt and A.F.M. Ter Elst) Fractional powers of sectorial operators via the Dirichlet-to-Neumann operator. Comm. Partial Differential Equations 43 (2018), no. 1, 1–24.
    12. Mahamadi Warma. On a fractional (s, p)-Dirichlet-to-Neumann operator on bounded Lipschitz domains. Journal of Elliptic and Parabolic Equation 4 (2018), 223–269.
    13. D.T. Nguyen, S.L. Nguyen, T.A. Hoang, and G. Yin, Tamed-Euler method for hybrid stochastic differential equations with Markovian switching. Nonlinear Analysis: Hybrid Systems, 30 (2018), 14-30.
    14. Pericchi, L. Contributed Discussion of: Using Stacking to Average Bayesian Predictive Distributions by Yuling Yao, Aki Vehtari, Daniel Simpson, and Andrew Gelman Bayesian Analysis (2018) 13, Number 3, pp. 988-989.
    15. Francis N. Castro, Luis A. Medina and Pantelimon Stanica. Generalized Walsh transforms of symmetric and rotation symmetric Boolean functions are linear recurrent. Applicable Algebra in Engineering, Communication and Computing, 29(5), 2018, 433-453.