Encuentro Matemático se realizará entre el 19 y 21 marzo 2014, Facultad de Matematicas, PUC, Chile.
Programa de charlas en:
Resumen: Is the growth rate for any C^r degree two map from the two sphere to itself at least ln 2? In joint work with Charles Pugh we prove the theorem when the latitude foliation is preserved. We present some further results and ideas. Both the smoothness and degree are necessary. There are counterexamples when the map is merely Lipschitz and when the topological entropy is ln 2 but the degree is 0.
Sitio: http://www.mat.puc.cl/~eemsiz/coloquio_general.html
Titulo: Invariance principle for the Random Conductance Model Expositor: Jean-Dominique Deuschel Afiliacion: Technische Universitat Berlin
Lunes 7 de octubre, Sala 5 Facultad de Matemáticas Miércoles 9 de octubre, Sala 2 Facultad de Matemáticas Lunes 14 de octubre, Sala 5 Facultad de Matemáticas Miercoles 16 de octubre, Sala 2 Facultad de Matemáticas
Resumen: We study a continuous time random walk, $X$, on $bZ^d$ in an environment of random conductances taking values in $[0, infty)$. We assume that the law of the conductances is ergodic with respect to space shifts. We prove a quenched invariance principle for $X$ under some moment conditions of the environment. The key result on the sublinearity of the corrector is obtained by Moser´s iteration scheme. We also prove a quenched local limit theorem with the help of the Harnack inequality.