On the asymptotic expansion of the colored Jones polynomial for torus knots

In the asymptotic expansion of the hyperbolic specification of the colored Jones polynomial of torus knots, we identify different geometric contributions, in particular Chern-Simons invariant and Reidemeister torsion.

GSK-3 como posible diana terapéutica en la Enfermedad de Alzheimer: Un nuevo inhibidor de GSK-3 aumenta la densidad y rescata la pérdida de espinas dendríticas causada por Aβ en neuronas corticales primarias.

Un nou inhibidor del glicogen-sintetasa-cinasa-3 (GSK-3) tipus tiadiazolidona (TDZD) va demostrar recentment incrementar la supervivència neuronal i prevenir el dèficit de memòria en un ratolí doble-transgènic (APP-tau). Aquest benefici podria produirse per la prevenció de pèrdua d'espines dendrítiques associada a l'exposició a formes solubles oligomèrics del péptidoβ amiloide (Aβo). Estudiem l'efecte de Aβo i TDZD-8 en la densitat d'espines dendrítiques en neurones primàries corticals de ratolí. Trobem que TDZD-8 rescata la pèrdua d'espines dendrítiques mediada per l'exposició a Aβo. Aportem una evidència més de que GSK-3 podria ser una diana d'interès en el tractament de la EA.

Tennessee Williams's Cat on a hot tin roof or the dramatic aptitudes of the goddess Diana

The aim of this article is to show which are the dramatic "yields" of the inclusion of the reference to the goddess Diana in Tennessee Williams's Cat on a Hot tin Roof. In the author's opinion, it does not deal simply with a meaningful reference; on the contrary, the accurate analysis of Williams's text proves that it is a true nuclear and cohesive element of the whole drama.

Cat on a hot tin roof de Tennessee Williams o les aptituds dramàtiques de la deessa Diana

L'objectiu d'aquest article és mostrar quins són els rèdits dramàtics de la inclusió de la referència a la deessa Diana a Cat on a Hot Tin Roof de Tennessee Williams. En opinió del autor, no es tracta simplement d'una referència significativa, sinó que l'anàlisi acurada del text de Williams demostra que és un element vertaderament nuclear i cohesionador de tot el drama.

Cat on a hot tin roof de Tennessee Williams o las aptitudes dramáticas de la diosa Diana

El objetivo de este artículo es mostrar cuáles son los réditos dramáticos de la inclusión de la referencia a la diosa Diana en Cat on a Hot Tin Roof de Tennessee Williams. En opinión del autor, no se trata simplemente de una referencia significativa, sino que el análisis minucioso del texto de Williams demuestra que es un elemento verdaderamente nuclear y cohesionador de todo el drama.

Dynamic properties of Lennard Jones fluids and liquid metals

The dependence of the dynamic properties of liquid metals and Lennard-Jones fluids on the characteristics of the interaction potentials is analyzed. Molecular-dynamics simulations of liquids in analogous conditions but assuming that their particles interact either through a Lennard-Jones or a liquid-metal potential were carried out. The Lennard-Jones potentials were chosen so that both the effective size of the particles and the depth of the potential well were very close to those of the liquid-metal potentials. In order to investigate the extent to which the dynamic properties of liquids depend on the short-range attractive interactions as well as on the softness of the potential cores, molecular-dynamics simulations of the same systems but assuming purely repulsive interactions with the same potential cores were also performed. The study includes both singleparticle dynamic properties, such as the velocity autocorrelation functions, and collective dynamic properties, such as the intermediate scattering funcfunctions, and collective dynamic properties, such as the intermediate scattering functions, the dynamic structure factors, the longitudinal and transverse current correlations, and the transport coefficients.

Equilibrium points and central configurations for the Lennard-Jones 2-and 3-body problems

Abstract. In this paper we study the relative equilibria and their stability for a system of three point particles moving under the action of a Lennard{Jones potential. A central con guration is a special position of the particles where the position and acceleration vectors of each particle are proportional, and the constant of proportionality is the same for all particles. Since the Lennard{Jones potential depends only on the mutual distances among the particles, it is invariant under rotations. In a rotating frame the orbits coming from central con gurations become equilibrium points, the relative equilibria. Due to the form of the potential, the relative equilibria depend on the size of the system, that is, depend strongly of the momentum of inertia I. In this work we characterize the relative equilibria, we nd the bifurcation values of I for which the number of relative equilibria is changing, we also analyze the stability of the relative equilibria.