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A nonperturbative form of the spectral action principle in noncommutative geometry
(1998-07)
Using the formalism of superconnections, we show the existence of a bosonic action functional for the standard K-cycle in noncommutative geometry, giving rise, through the spectral action principle, only to the Einstein ...
Implementación de una plataforma computacional para la solución de PDE's elípticas, mediante FEM y descomposición de dominios BDDC.
(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 Epstein-Glaser renormalization in x-space versus differential renormalization
(2014-09)
Renormalization of massless Feynman amplitudes in x-space is reexamined here, using almost exclusively real-variable methods. We compute a wealth of concrete examples by means of recursive extension of distributions. This ...
The Impact of Help-Seeking for Depression: A Mathematical Model
(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 ...
Modeling the university drinking culture phenomenon
(2022-11-03)
We study a susceptible-drinker-recovered (SDR) model for the drinking culture phenomenon in university atmospheres. We find conditions for this model to have extinction and endemic equilibrium points. We analyze different ...
A two-patch epidemic model with nonlinear reinfection
Un modelo epidémico de dos poblaciones con reinfección no lineal
(2020)
The propagation of infectious diseases and its impact on individuals play a major role in disease dynamics, and it is important to incorporate population heterogeneity into efforts to study diseases. As a simplistic but ...
Área y multiplicación
(1990)
Mostramos que la fórmula “área de un rectángulo de base b y altura h = b.h” surge de las propiedades exigidas al concepto “área de un rectángulo” en la actividad de los colectivos humanos, las que quedaron reflejadas en ...
A two-step estimation procedure for locally stationary ARMA processes with tempered stable innovations
(2023-03)
The class of locally stationary processes assumes a time-varying (tv) spectral representation and finite second moment. Different areas have observed phenomena with heavy tail distributions or infinite variance. Using ...
Equilibrium states for maps isotopic to Anosov
(2021)
In this work we address the problem of existence and uniqueness (finiteness) of ergodic equilibrium states for partially hyperbolic diffeomorphisms isotopic to Anosov on T4, with two-dimensional center foliation. To do so ...
Sparse bounds for the discrete spherical maximal functions
(2020)
We prove sparse bounds for the spherical maximal operator of Magyar, Stein and Wainger. The bounds are conjecturally sharp, and contain an endpoint estimate. The new method of proof is inspired by ones by Bourgain and ...