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Geometric goodness of fit measure to detect patterns in data point clouds
(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 ...
Minimum depth of double cross product extensions
(2020)
In this paper we explore minimum odd and minimum even depth sub- algebra pairs in the context of double cross products of finite dimensional Hopf algebras. We start by defining factorization algebras and outline how subring ...
A mathematical model with nonlinear relapse: conditions for a forward-backward bifurcation
(2023)
We constructed a Susceptible-Addicted-Reformed model and explored the dynamics of nonlinear relapse in the Reformed population. The transition from susceptible considered at-risk is modeled using a strictly decreasing ...
Lyapunov exponents of probability distributions with non-compact support
(2020)
A recent result of Bocker–Viana asserts that the Lyapunov exponents of compactly supported probability distributions in GL(2, R) depend continuously on the distribution. We investigate the general, possibly concompact ...
Rotation-Based Mixed Formulations for an Elasticity-Poroelasticity Interface Problem
(2020)
In this paper we introduce a new formulation for the stationary poroelasticity equations written using the rotation vector and the total fluid-solid pressure as additional unknowns, and we also write an extension to the ...
Well-posedness and discrete analysis for advection-diffusion-reaction in poroelastic media
(2021)
We analyse a PDE system modelling poromechanical processes (formulated in mixed form using the solid deformation, fluid pressure, and total pressure) interacting with diffusing and reacting solutes in the medium. We ...
On the standard form of the Bloch equation
(1979-03)
The requirement is often made in non-equilibrium statistical mechanics
that a transport equation should be derived as that which governs the
subdynamics relative to a (small) part of a (large) conservative
dynamical ...
La representación de pin del grupo ortogonal infinitodimensional
(1994-02)
Desarrollamos en detalle la representación de pin del grupo ortogonal infinitodimensional restringido. Esta es una representación proyectiva que permuta elementos "gaussianos" en el espacio de Fock fermiónico: nuestra ...
Connes' noncommutative differential geometry and the Standard Model
(1993-11)
In this paper, the Connes-Lott approach to the phenomenological Lagrangian of the standard theory of elementary particles is reviewed in detail. The paper is self-contained, in that the necessary foundations in noncommutative ...
Los grupos simplécticos y su representación en la teoría del producto cuántico. I. Sp(2,R)
(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 ...