Monotonic IDLA forest and First Passage Percolation
Speaker: Jacob Kagan
Date: Thu, Jun 21, 2012
Location: PIMS, University of British Columbia
Conference: PIMS-MPrime Summer School in Probability
Subject: Mathematics, Probability
Class: Scientific
Date: Thu, Jun 21, 2012
Location: PIMS, University of British Columbia
Conference: PIMS-MPrime Summer School in Probability
Subject: Mathematics, Probability
Class: Scientific
Abstract:
We present a modification of the IDLA model on a rotated square lattice. The process results in a forest of trees covering the upper half plane. We show an equivalence between this model and first passage percolation. We prove that with probability 1 the trees resulting from the IDLA forest are finite.
