Abstract:
In the 70’s, de Gennes coined the term “the ant in the labyrinth” for a random walk on a percolation cluster. He proposed to study this model as a canonical example for diffusion in disordered media. In this talk we will comment on recent progress toward a scaling limit result for the ant in the labyrinth in the critical, high-dimensional case.
Biography:
Manuel Cabezas is an Assistant Professor at Pontifical Catholic University of Chile. He did his Ph.D. under the supervision of Alejandro Ramirez and then worked as a Postdoc at IMPA (Brazil) with Vladas Sidoravicius. His research interests include diffusion in disorders media, particle systems and self-organized criticality.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai