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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 ...
An overlapping preconditioner for 2D virtual problems posed in H(rot) with irregular subdomains
(2022)
We present a two-level overlapping Schwarz preconditioner for problems posed in H(rot) in two dimensions, that extends previous methods for Nédélec elements (triangular meshes) to general polygonal partitions (virtual ...
Notas de lógica EMALCA 2019
(2019)
Estas notas fueron utilizadas en el curso Introducción a la Lógica durante la EMALCA organizada por el CIMPA en la sede del Atlántico en 2019. La lógica matemática es un área de matemática que estudia el lenguaje formal ...
Models of torsors over affine spaces
(2019)
Let X := A n R be the n-dimensional affine space over a discrete valuation ring R with fraction field K. We prove that any pointed torsor Y over A n K under the action of an affine finite-type group scheme can be extended ...
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 ...
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 ...