56 citations · 180 across the 28 of their papers we have counts for
3 papers · 2 filters
Containing Internal Diffusion Limited Aggregation
Hugo Duminil-Copin, Cyrille Lucas, Ariel Yadin +1
Internal Diffusion Limited Aggregation (IDLA) is a model that describes the growth of a random aggregate of particles from the inside out. Shellef proved that IDLA processes on sup…
Disorder, entropy and harmonic functions
Itai Benjamini, Hugo Duminil-Copin, Gady Kozma +1
We study harmonic functions on random environments with particular emphasis on the case of the infinite cluster of supercritical percolation on . We prove that the ve…
Supercritical self-avoiding walks are space-filling
Hugo Duminil-Copin, Gady Kozma, Ariel Yadin
We consider random self-avoiding walks between two points on the boundary of a finite subdomain of Z^d (the probability of a self-avoiding trajectory gamma is proportional to mu^{-…