Manuel Cabezas

The Alexander Orbach conjecture states that the Incipient Infinite Cluster of percolation has spectral dimension 4/3. In this talk we give a brief overview of the historic development of the conjecture and present some new related results. More specifically, we provide an scaling limit fot the random walk on the incipient infinite cluser of a regular tree projected to the backbone.

Location: USACH, Edificio CITECAMP, sala de seminario

Department of Mathematics

Pontifical Catholic University of Chile (PUC-Chile)

Av. Vicuña Mackenna 4860, Macul,

Santiago – Chile

(+56 2) 2354 5779

Center for Mathematical Modeling (CMM)

Faculty of Physical and Mathematical Sciences (FCFM)

Universidad de Chile

Beauchef 851, Edificio Norte, Piso 7,

Santiago – Chile