Now showing items 1-18 of 18

    • A brief survey of Higgs bundles 

      Zúñiga Rojas, Ronald Alberto (2019-06)
      Considering a compact Riemann surface of genus greater or equal than two, a Higgs bundle is a pair composed of a holomorphic bundle over the Riemann surface, joint with an auxiliar vector field, so-called Higgs field. This ...
    • A Geometric Splitting Theorem 

      Rosales Ortega, José (2019)
      Let G = G1...Gl be a connected noncompact semisimple Lie group with Lie algebra g = g_1+g_2+....+ g_l acting topologically transitive on a manifold M. We obtain a geometric splitting of the metric on M that consider ...
    • 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 ...
    • Correction to: The chirality theorem 

      Gracia Bondía, José M.; Mund, Jens; Várilly Boyle, Joseph C. (2018-10)
    • 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. ...
    • 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 ...
    • On the kinematics of the last Wigner particle 

      Gracia Bondía, José M.; Várilly Boyle, Joseph C. (2019)
      Wigner's particle classification provides for "continuous spin" representations of the Poincaré group, corresponding to a class of (as yet unobserved) massless particles. Rather than building their induced realizations by ...
    • 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 ...
    • 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 ...
    • String chopping and time-ordered products of linear string-localized quantum fields 

      Cardoso, Lucas T.; Mund, Jens; Várilly Boyle, Joseph C. (2018-03)
      For a renormalizability proof of perturbative models in the Epstein-Glaser scheme with string-localized quantum fields, one needs to know what freedom one has in the definition of time-ordered products of the interaction ...
    • 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 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 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, ...
    • Variations of Hodge Structures of Rank Three k-Higgs Bundles and Moduli Spaces of Holomorphic Triples 

      Zúñiga Rojas, Ronald Alberto (2020)
      There is an isomorphism between the moduli spaces of σ-stable holomorphic triples and some of the critical submanifolds of the moduli space of k-Higgs bundles of rank three, whose elements (E, ϕk ) correspond to variations ...