• Teaching basic statistics to blind students 

      Chou Chen, Shu Wei; Hernández Rodríguez, Oscar (2017)
      Understanding statistics has become extremely important not only for researchers but also for the general public in order to understand publications that include statistical analysis. Having in mind promoting ...
    • Teoría de grupos en cuantización 

      Várilly Boyle, Joseph C. (Centro de Investigación y de Estudios Avanzados del IPN, México, DF, 1992, 1992-02-15)
      Esta monografía es un curso doctoral impartido en el CInvEstAv del Instituto Politécnico Nacional en México, DF, durante el año académico 1991-92 (con licencia sabática de la UCR) y luego redactado como publicación ...
    • Teorías y propiedades universales de una teoría de anillos real cerrados (Informe Final Proyecto B9128) 

      Guier Acosta, Jorge Ignacio (2021)
      Sea $T^\ast$ la teor\'{\i}a de los subanillos reticulados que son convexos en los $f$-anillos von Neumann regulares real cerrados, y que adem\'as no tienen elementos idempotentes minimales (no-cero) y que son divisible-p ...
    • Testing one-body density functionals on a solvable model 

      Benavides Riveros, Carlos L.; Várilly Boyle, Joseph C. (2012-10)
      There are several physically motivated density matrix functionals in the literature, built from the knowledge of the natural orbitals and the occupation numbers of the one-body reduced density matrix. With the help of the ...
    • 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 chirality theorem 

      Gracia Bondía, José M.; Mund, Jens; Várilly Boyle, Joseph C. (2018-03)
      We show how chirality of the weak interactions stems from string independence in the string-local formalism of quantum field theory.
    • 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 Dirac operator on SU_q(2) 

      Dabrowski, Ludwik; Landi, Giovanni; Sitarz, Andrzej; Van Suijlekom, Walter; Várilly Boyle, Joseph C. (2005)
      We construct a 3^+ summable spectral triple (A(SU_q(2)),H,D) over the quantum group SU_q(2) which is equivariant with respect to a left and a right action of U_q(su(2)). The geometry is isospectral to the classical case ...
    • 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.
    • The Impact of Help-Seeking for Depression: A Mathematical Model 

      Aguilar Álvarez, Daniel; Sáenz, Josúe A.; Sánchez Peña, Fabio Ariel (2022)
      For years and with the Covid-19 pandemic, mental illnesses such as depression have emerged. According to the World Health Organization, an average of 5\% of the population in a country suffers from depression. The ...
    • The interface of noncommutative geometry and physics 

      Várilly Boyle, Joseph C. (2004-01)
      As a mathematical theory per se, noncommutative geometry (NCG) is by now well established. From the beginning, its progress has been crucially influenced by quantum physics: we briefly review this development in recent ...
    • The Kirillov picture for the Wigner particle 

      Gracia Bondía, José M.; Lizzi, Fedele; Várilly Boyle, Joseph C.; Vitale, Patrizia (2018-06)
      We discuss the Kirillov method for massless Wigner particles, usually (mis)named "continuous spin" or "infinite spin" particles. These appear in Wigner's classification of the unitary representations of the Poincaré group, ...
    • The local index formula for SU_q(2) 

      Van Suijlekom, Walter; Dabrowski, Ludwik; Landi, Giovanni; Sitarz, Andrzej; Várilly Boyle, Joseph C. (2005)
      We discuss the local index formula of Connes-Moscovici for the isospectral noncommutative geometry that we have recently constructed on quantum SU(2). We work out the cosphere bundle and the dimension spectrum as well as ...
    • The lowest excited configuration of harmonium 

      Benavides Riveros, Carlos L.; Gracia Bondía, José M.; Várilly Boyle, Joseph C. (2012)
      The harmonium model has long been regarded as an exactly solvable laboratory bench for quantum chemistry [W. Heisenberg, Z. Phys. 38, 411 (1926)]. For studying correlation energy, only the ground state of the system has ...
    • The metaplectic representation and boson fields 

      Gracia Bondía, José M.; Várilly Boyle, Joseph C. (1991-12)
      We construct explicitly the infinite-dimensional metaplectic representation and show how its use simplifies and rigorizes several questions in bosonic Quantum Field Theory. The representation permutes Gaussian elements in ...
    • The Moyal representation of quantum mechanics and special function theory 

      Várilly Boyle, Joseph C.; Gracia Bondía, José M.; Schempp, Walter (1990-03)
      It is shown that the phase-space formulation of quantum mechanics is a rich source of special function identities. The Moyal formalism is reviewed for two phase spaces: the real plane and the sphere; and this is used to ...
    • The pseudo-fundamental group scheme 

      Antei, Marco; Dey, Arijit (2019)
      Let X be any scheme defined over a Dedekind scheme S with a given section x ∈ X (S). We prove the existence of a pro-finite S-group scheme א (X,x) and a universal א (X,x)-torsor dominating all the pro-finite pointed torsors ...
    • The role of mobility and sanitary measures on the delay of community transmission of COVID-19 in Costa Rica 

      Barboza Chinchilla, Luis Alberto; Vásquez Brenes, Paola Andrea; Mery Valdovinos, Gustavo Andrés; Sánchez Peña, Fabio Ariel; García Puerta, Yury Elena; Calvo Alpízar, Juan Gabriel; Rivas Chaves, Tania; Pérez Rosales, María Dolores; Salas Peraza, Daniel (2021-07-21)
      The aim of this paper is to infer the effects that change on human mobility had on the transmission dynamics during the first four months of the SARS-CoV-2 pandemic in Costa Rica, which could have played a role in delaying ...
    • The role of SARS-CoV-2 testing on hospitalizations in California 

      Montesinos López, José Cricelio; Daza Torres, María Luisa; García Puerta, Yury Elena; Barboza Chinchilla, Luis Alberto; Sánchez Peña, Fabio Ariel; Schmidt, Alec J.; Pollock, Bradley H.; Nuño, Miriam A (2021-12-03)
      The rapid spread of the new SARS-CoV-2 virus triggered a global health crisis, disproportionately impacting people with pre-existing health conditions and particular demographic and socioeconomic characteristics. One of ...