Abstract:
We provide a sufficient condition for ballisticity for random walks in i.i.d. random environments which are perturbations of the simple symmetric random walk in terms of the expectation and variance of the drift at a single site, extending and giving a sharper version of a result of Sznitman of 2004. Our theorem gives new examples of ballistic random walks in random environment satisfying the polynomial decay condition (P), but which do not satisfy Kalikow’s condition. This is a joint work with Santiago Saglietti.
Biography:
Alejandro Ramírez graduated from the Pontifical Catholic University of Chile (PUC) before receiving his Ph.D. in mathematics from the Courant Institute, New York University in 1996. Since 2011 he is Professor at the Department of Mathematics of PUC.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai