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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 ...
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 ...
A Two-Patch Epidemic Model with Nonlinear Reinfection
Un modelo epidémico de dos poblaciones con reinfección no lineal
(2019-12)
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 ...
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 ...
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 ...
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 ...
Algebras of distributions suitable for phase‐space quantum mechanics. II. Topologies on the Moyal algebra
(1988-06-04)
The topology of the Moyal *-algebra may be defined in three ways: the
algebra may be regarded as an operator algebra over the space of
smooth declining functions either on the configuration space or on the
phase space ...
The role of short-term immigration on disease dynamics: An SIR model with age-structure
El rol de la inmigración en periodos cortos sobre la dinámica de enfermedades: un modelo sir con estructura de edad
(2019-02-18)
We formulate an age-structured nonlinear partial differential equation model that features short-term immigration effects in a population. Individuals can immigrate into the population as any of the three stages in the ...
The local index formula for SU_q(2)
(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 ...