Departamento de Matemáticas

Organizado por el Instituto de Matemáticas (IMUEX) en colaboración con el Departamento de Matemáticas de la Universidad de Extremadura van a tener lugar las siguientes charlas:

Martes 12 de junio de 2018, aula C3A, 11h. El profesor Manuel González de la Universidad de Cantabria impartirá la charla titulada «Three operator problems in Banach spaces»

Jueves 14 de jnuio de 2018, aula C3A, 12h. El profesor Tomasz Kania del Institute of Mathematics, Czech Republic impartirá la charla titulada «Separated sets and Auerbach systems in Banach spaces»

El jueves 7 de junio a las 12:30 horas, en el aula C3A del Edificio Carlos Benítez en Badajoz, la profesora Maroussia Slavtchova-Bojkova de la Sofia University «St. Kl. Ohridski», Bulgaria impartirá la conferencia con título «Limit results on non-decomposable age-dependent branching processes with immigration» .

Resumen:

This talk is concerned with the theoretical study of a class of non–decomposable branching processes, in discrete and continuous time, with two types of immigration – in the state zero and another one of a renewal type. The multidimensional case is considered and asymptotic properties and limit theorems are established both in subcritical and supercritical cases. These results generalize both the results of the discrete theory and those for the one–dimensional continuous–time model. A probabilistic proof under week conditions of the convergence in probability of the subcritical age–dependent branching processes (LLN) allowing two different types of immigration, i.e. one type in the state zero and another one according to the i.i.d. times of an independent ergodic renewal process is presented. A strong law of large numbers (SLLN) and a central limit theorem (CLT) for the Bellman–Harris process with immigration at zero and immigration of renewal type (BHPIOR) processes is proved for age-dependent BHPIORs. Similar conclusions are obtained for their discrete–time counterparts (lifetime per individual equals one), well-known as Galton–Watson processes with immigration at zero and immigration of renewal type (GWPIOR). Our approach in the last case is based on the theory of regenerative processes, renewal theory and occupation measures and is quite different from those in earlier related work using analytic tools. The study of the BHPIOR  generalizing the convergence in probability (LLN) for p-type (p > 1) ones completes this research.

El  martes 10 de abril a las 10:00 en Salón de Actos. de la Facultad de Ciencias,   el profesor F. Thomas Bruss de Université Libre de Bruxelles, Bélgica, impartirá la charla titulada «Immigration and Cohabitation in Resource-Dependent Branching Processes».

El viernes 13 de abril a las 9:00,  en el Salón de Actos de Biológicas de la Facultad de Ciencias, la profesora Elena Yarovaya  de Lomonosov Moscow State University, Rusia, impartirá la charla titulada «Asymptotic Behavior of Stochastic Particle Systems».

El viernes 13 de abril a las 16:30, en el Salón de Actos de Biológicas de la Facultad de Ciencias. la profesora Charline Smadi de National Research Institute of Science and Technology for Environment and Agriculture, Francia, impartirá la charla «Extinction rate of continuous state branching processes in critical Lévy random environments».

El viernes 23 de marzo a las 10 horas, en el aula C3A del Edificio Carlos Benítez en Badajoz, la profesora J. Wafaa Batat de la Ecole Nationale Polytechnique d’Oran- Maurice Audin (Argelia). impartirá la conferencia: «Homogeneous structures on three-dimensional lorentzian manifolds«.

Descripción: In this talk, we will introduce the notion of homogeneous pseudo-Riemannian structures. We will give a complete classfication of these structures on Lorentzian three-manifolds admitting a parallel null vector field, also on 3-dimensional manifolds with large isometry group, and finally we will give a complete classification of skew-symmetric homogeneous structures in dimension 3. This leads to the full classification of naturally reductive Lorentzian 3-spaces.