Monotonic IDLA forest and First Passage Percolation

PIMS-MPrime Summer School in Probability

授课人:Jacob Kagan

机构:Pacific Institute for the Mathematical Sciences(PIMS)

关键词: Scientific;    Mathematics;    Probability;    Brownian Motion;   

加拿大|英语

【 摘 要 】

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.

【 授权许可】

CC BY-NC-ND   
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