• Faà di Bruno Hopf algebras 

      Figueroa González, Héctor; Gracia Bondía, José M.; Várilly Boyle, Joseph C. (2022-11)
      This is a short review on the Faà di Bruno formulas, implementing composition of real-analytic functions, and a Hopf algebra associated to such formulas. This structure allows, among several other things, a short proof of ...
    • 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.
    • Finite Element Methods for Large-Strain Poroelasticity/Chemotaxis Models Simulating the Formation of Myocardial Oedema 

      Barnafi Wittwer, Nicolás Alejandro; Gómez Vargas, Bryan Andrés; Lourenço, Wesley De Jesus; Reis, Ruy Freitas; Rocha, Bernardo Martins; Lobosco, Marcelo; Ruiz Baier, Ricardo; Weber dos Santos, Rodrigo (2022-07-22)
      In this paper we propose a novel coupled poroelasticity-diffusion model for the formation of extracellular oedema and infectious myocarditis valid in large deformations, manifested as an interaction between interstitial ...
    • Formulation and analysis of fully-mixed methods for stress-assisted diffusion problems 

      Gatica Pérez, Gabriel Nibaldo; Gómez Vargas, Bryan Andrés; Ruiz Baier, Ricardo (2019-03)
      This paper is devoted to the mathematical and numerical analysis of a mixed-mixed PDE system describing the stress-assisted diffusion of a solute into an elastic material. The equations of elastostatics are written in mixed ...
    • Fourier analysis on the affine group, quantization and noncompact Connes geometries 

      Gayral, Victor; Gracia Bondía, José M.; Várilly Boyle, Joseph C. (2008-04)
      We find the Stratonovich-Weyl quantizer for the nonunimodular affine group of the line. A noncommutative product of functions on the half-plane, underlying a noncompact spectral triple in the sense of Connes, is obtained ...
    • From geometric quantization to Moyal quantization 

      Gracia Bondía, José M.; Várilly Boyle, Joseph C. (1995-06)
      We show how the Moyal product of phase-space functions, and the Weyl correspondence between symbols and operator kernels, may be obtained directly using the procedures of geometric quantization, applied to the symplectic ...
    • Una fundamentación instrumental de la Aritmética 

      Alarcón Athens, Winston (1990)
      Desde el punto de vista de la génesis histórica y psicológica del conocimiento humano, poca duda cabe que los números naturales van siendo elaborados como referente social en el proceso de conteo. En este artículo se ...
    • Geometric goodness of fit measure to detect patterns in data point clouds 

      Hernández Alvarado, Alberto José; Solís Chacón, Maikol; Zúñiga Rojas, Ronald Alberto (2019)
      The curse of dimensionality is a commonly encountered problem in statistics and data analysis. Variable sensitivity analysis methods are a well studied and established set of tools designed to overcome these sorts of ...
    • Geometrical correlation indices using homological constructions on manifolds 

      Solís Chacón, Maikol; Hernández Alvarado, Alberto José; Zúñiga Rojas, Ronald Alberto (2018)
      Abstract The course of dimensionality is a common problem in statistics and data analysis. Variable sensitivity analysis methods are a well studied and established set of tools designed to overcome these sorts of problems. ...
    • 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 ...
    • Geometría: II y III ciclo Educación General Básica 

      Rodríguez Alfaro, Analive (Universidad de Costa Rica, Sede de Occidente. San Ramón, Alajuela, C.R., 1993-09)
      Esta es una guía para la enseñanza de temas de geometría elemental, considerados principalmente en los programas del II y III ciclo de Educación General Básica. Se incluyen fichas de laboratorio dirigidas a los educandos, ...
    • Groups definable in partial differential fields with an automorphism 

      Bustamante Medina, Ronald F.; Chatzidakis, Zoé; Montenegro Guzmán, Samaria (2021-09-28)
      In this paper we study groups definable in existentially closed partial differential fields of characteristic 0 with an automorphism which commutes with the derivations. In particular, we study Zariski dense definable ...
    • Groups with f-generics in NTP2 and PRC fields 

      Montenegro Guzmán, Samaria; Onshuus Niño, Alf; Pierre Sigué, Simon (2018)
      We study groups with f-generic types definable in bounded PRC fields. Along the way, we generalize part of the basic theory of definably amenable NIP groups to NTP2theories and prove variations on Hrushovski’s stabilizer theorem.
    • Los grupos clásicos y su clasificación 

      Várilly Boyle, Joseph C. (Coloquios de Matemática., 2011-08-10)
      Esta es la memoria de un coloquio en la Escuela de Matemática, el 10 de agosto del 2011, en la ocasión de la visita a la UCR del Profesor Luis Joaquín Boya, de Zaragoza. Es un bosquejo de la clasificación de los grupos ...
    • Los grupos simplécticos y su representación en la teoría del producto cuántico. I. Sp(2,R) 

      Várilly Boyle, Joseph C.; Gracia Bondía, José M. (1987)
      El álgebra de observables de la teoría cuántica encierra una representación del grupo simpléctico. Esta puede usarse a su vez para resolver problemas de caracterización de estados y síntesis espectral en la formulación ...
    • 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 ...
    • Hopf algebras in noncommutative geometry 

      Várilly Boyle, Joseph C. (2003)
      We give an introductory survey to the use of Hopf algebras in several problems of noncommutative geometry. The main example, the Hopf algebra of rooted trees, is a graded, connected Hopf algebra arising from a universal ...
    • Imaginaries, invariant types and pseudo p-adically closed fields 

      Montenegro Guzmán, Samaria; Rideau Kikuchi, Silvain (2019-04-29)
      In this paper, we give a general criterion for elimination of imaginaries using an abstract independence relation. We also study germs of definable functions at certain well-behaved invariant types. Finally we apply these ...
    • Implementación de una plataforma computacional para la solución de PDE's elípticas, mediante FEM y descomposición de dominios BDDC. 

      Mora Cordero, Fabian (2019)
      En este trabajo se desarrolla una plataforma computacional en C++-CUDA, la cual introduce una serie de estructuras de datos que simplifican el manejo de memoria en CUDA. En la plataforma también se introducen elementos de ...
    • 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 ...