• A two-level overlapping Schwarz method for H(curl) in two dimensions with irregular subdomains 

      Calvo Alpízar, Juan Gabriel (2015-10-07)
      A bound is obtained for the condition number of a two-level overlapping Schwarz algorithm for problems posed in H(curl) in two dimensions, where the subdomains are only assumed to be John subdomains. The coarse space is ...
    • An adaptive choice of primal constrains for BDDC domain decomposition algorithms 

      Calvo Alpízar, Juan Gabriel; Widlund, Olof B. (2016-12-12)
      An adaptive choice for primal spaces based on parallel sums is developed for BDDC deluxe methods and elliptic problems in three dimensions. The primal space, which forms the global, coarse part of the domain decomposition ...
    • Analyzing the Measurement Equivalence of a Translated Test in a Statewide Assessment Program 

      Carvajal Espinoza, Jorge Eduardo; Welch, Greg W. (2016-09)
      When tests are translated into one or more languages, the question of the equivalence of items across language forms arises. This equivalence can be assessed at the scale level by means of a multiple group confirmatory ...
    • Comparative analysis of dengue versus chikungunya outbreaks in Costa Rica 

      Sánchez Peña, Fabio Ariel; Barboza Chinchilla, Luis Alberto; Burton, David; Cintrón Arias, Ariel (2018-06)
      For decades, dengue virus has been a cause of major public health concern in Costa Rica, due to its landscape and climatic conditions that favor the circumstances in which the vector, Aedes aegypti, thrives. The emergence ...
    • Faltings heights of CM elliptic curves and special Gamma values 

      Barquero Sánchez, Adrián Alberto; Cadwallader, Lindsay; Cannon, Olivia; Genao, Tyler; Masri, Riad (2017-12)
      In this paper, we evaluate the Faltings height of an elliptic curve with complex multiplication by an order in an imaginary quadratic field in terms of Euler’s Gamma function at rational arguments.
    • La geometría en su contexto histórico 

      Várilly Boyle, Joseph C. (Las Matemáticas y su Enseñanza 6(17):21–34, 1995 octubre, 1995-10-15)
      La geometría en los sistemas de enseñanza media ha sido retomado por diversas propuestas para remozar los programas de matemáticas; y en el caso de Costa Rica, con la puesta en práctica de un programa ambicioso que destaca ...
    • Heat content estimates over sets of finite perimeter 

      Acuña Valverde, Luis Guillermo (2016-09)
      This paper studies by means of standard analytic tools the small time behavior of the heat content over a bounded Lebesgue measurable set of finite perimeter by working with the set covariance function and by imposing ...
    • Improved Automatic Centerline Tracing for Dendritic and Axonal Structures 

      Jiménez López, David Adrián; Labate, Demetrio; Kakadiaris, loannis A.; Papadakis, Manos (2015-04)
      Centerline tracing in dendritic structures acquired from confocal images of neurons is an essential tool for the construction of geometrical representations of a neuronal network from its coarse scale up to its fine scale ...
    • On the Colmez conjecture for non-abelian CM fields 

      Barquero Sánchez, Adrián Alberto; Masri, Riad (2018-02-08)
      The Colmez conjecture relates the Faltings height of an abelian variety with complex multiplication by the ring of integers of a CM field E to logarithmic derivatives of Artin L-functions at s=0. In this paper, we prove ...
    • On the one dimensional spectral Heat content for stable processes 

      Acuña Valverde, Luis Guillermo (2016-09)
      This paper provides the second term in the small time asymptotic expansion of the spectral heat content of a rotationally invariant α-stable process, 0 < α ≤ 2, for the bounded interval (a, b). The small time behavior ...
    • On the Ramanujan–Lodge harmonic number expansion 

      Mortici, Cristinel; Villarino Bertram, Mark (2015-01-15)
      The aim of this paper is to extend and refine the Ramanujan–Lodge harmonic number expansion into negative powers of a triangular number. We construct a faster asymptotic series and some new sharp inequalities for the ...
    • Propuesta de un curso teórico – práctico para la formación inicial de profesores de matemáticas: posible entorno de aprendizaje 

      Arias Tencio, Floria (2016-06)
      En este artículo se describe la propuesta de un curso teórico-práctico como un entorno de aprendizaje para la formación inicial de profesores de matemática para educación secundaria. Este curso se implementó en el 2015 ...
    • Propuesta didáctica para la docencia universitaria de las ecuaciones polinomiales 

      Camacho Navarro, Catalina; Trejos Zelaya, Javier; Viquez Céspedes, Hernán (2017)
      En este artículo contiene los principales resultados obtenidos a partir del diseño, aplicación y evaluación de una propuesta didáctica para la enseñanza de las ecuaciones polinomiales, la cual se desarrolló durante el mes ...
    • Stora's fine notion of divergent amplitudes 

      Várilly Boyle, Joseph C.; Gracia Bondía, José M. (2016-11)
      Stora and coworkers refined the notion of divergent quantum amplitude, somewhat upsetting the standard power-counting recipe. This unexpectedly clears the way to new prototypes for free and interacting field theories of ...
    • Stratifications on the Moduli Space of Higgs Bundles 

      Zúñiga Rojas, Ronald Alberto; Beier Gothen, Peter (2016-11-02)
      The moduli space of Higgs bundles has two stratifications. The Bia lynickiBirula stratification comes from the action of the non-zero complex numbers by multiplication on the Higgs field, and the Shatz stratification arises ...
    • The asymptotic distribution of Andrews’ smallest parts function 

      Banks, Josiah; Barquero Sánchez, Adrián Alberto; Masri, Riad; Sheng, Yan (2015-12)
      In this paper, we use methods from the spectral theory of automorphic forms to give an asymptotic formula with a power saving error term for Andrews’ smallest parts function spt(n). We use this formula to deduce an asymptotic ...
    • The Chowla-Selberg formula for abelian CM fields and Faltings heights 

      Barquero Sánchez, Adrián Alberto; Masri, Riad (2016-03)
      In this paper we establish a Chowla-Selberg formula for abelian CM fields. This is an identity which relates values of a Hilbert modular function at CM points to values of Euler’s gamma function Γ and an analogous function ...
    • The Error in an Alternating Series 

      Villarino Bertram, Mark (2018-03)
      We present a new proof of Johnsonbaugh’s estimates for the error in an alternating series based on an idea of R. M. Young. We also use this same idea to prove the convergence of the Euler transform and a corresponding error ...
    • The Gromov’s centralizer theorem for semisimple Lie group actions 

      Rosales Ortega, José (2017-10)
      We give a new version of the Gromov’s centralizer theorem in the case of semisimple Lie group actions and arbitrary rigid geometric structures of algebraic type.
    • Uniform sparse bounds for discrete quadratic phase Hilbert transforms 

      Kesler, Robert; Mena Arias, Darío Alberto (2017-09)
      Consider the discrete quadratic phase Hilbert Transform acting on $\ell^{2}(\mathbb{Z})$ finitely supported functions $$ H^{\alpha} f(n) : = \sum_{m \neq 0} \frac{e^{i\alpha m^2} f(n - m)}{m}. $$ We prove that, ...