# Seminars

## Almost everywhere convergence of ergodic averages

Event Date: Oct 29, 2018 in Dynamical Systems, Seminars

ABSTRACT:   In this talk I would like to discuss some of my results concerning almost everywhere convergence of non-conventional ergodic averages of L1 functions. These topics include: divergence of ergodic averages along the squares; convergence along some sequences of zero Banach density; convergence for arithmetic weights: the prime divisor functions ω and Ω.

## El Cubo de Datos de Colombia

Event Date: Oct 22, 2018 in Ciclo de Seminarios quincenales de la Alianza Copernicus-Chile, Seminars

Seminarios de la Alianza Copernicus-Chile Titulo                    El Cubo de Datos de Colombia   Expositor    Pilar Lozano, IDEAM Sala:  Sala Multimedia, Centro de Modelamiento Matemático, Beauchef 851, Edificio Norte, Piso 6. Fecha:  Lunes 22 de Octubre de 2018 Hora:  16:00 horas   Participación en Linea:  http://vcespresso.redclara.net/@352109705c115cdd511fb968f9f4ff86# Use Explorer, Firefox o Safari, debe tener instalado Flash Player...

## “Second-order characterizations of C1-smooth robustly quasiconvex functions”

Event Date: Oct 24, 2018 in Optimization and Equilibrium, Seminars

Abstract:   “Our aim in this talk is to investigate the possibility of using the Fréchet and Mordukhovich second-order subdifferentials to characterize the robust quasiconvexity of  C1-smooth functions. We set up a necessary condition for the robust quasiconvexity of C1,1-smooth functions and univariate C1-smooth ones. We also show that the established necessary condition is indeed a sufficient one for the robust quasiconvexity of C1-smooth functions.”

## Particles-based simulations and GPU computing for soft matter science and computer graphics applications

Event Date: Oct 25, 2018 in CMM Modeling, Seminars

Summary:   Particle-based simulation codes used in soft matter science aim at represent the interactions that occur in colloidal suspensions at nanoscale level. These suspensions are a mixture of solid particles of diameter between 100 and 1000 nanometers and a solvent (usually water), all interacting with each other. The main goal when implementing these codes on the GPU is to accelerate the “particle neighbour searching” phase, which is the bottleneck in most lagrangian-based simulations. I will present recent results obtained for Brownian Dynamics, where the solvent is...

## Uniqueness and stability of semi-wavefronts for KPP-Fisher equation with delay

Event Date: Oct 16, 2018 in CAPDE, Seminars

Abstract:   In this talk I will preset some recent results on the stability and uniqueness of semi-wavefronts of the equation  u_t(t,x)=u_{xx}(t,x)+u(t,x)(1-u(t-h,x)),    t >0,      x in \R; where the parameter h>0 is a delay. The uniqueness (up to translations) of semi-wavefronts (i.e., solutions in the form u(t,x)=\phi_c(x+ct) satisfying $\phi_c(-\infty)=0$ and $\liminf_{z\to +\infty}\phi_c(z)>0$)  is `largely open’ problem. By a simple approach we have obtained the uniqueness (up to translations) of semi-wavefronts for all speed, i.e., c >= 2, and the stability on each...