The quenched critical point for self-avoiding walk on random conductors

Abstract

Following similar analysis to that in Lacoin (PTRF 159, 777-808, 2014), we can show that the quenched critical point for self-avoiding walk on random conductors on the d-dimensional integer lattice is almost surely a constant, which does not depend on the location of the reference point. We provide its upper and lower bounds that are valid for all dimensions.

14 pages

References in corpus (1)

• Random Currents and Continuity of Ising Model's Spontaneous Magnetization

Cited by in corpus (1)

• Sharp transition in self-avoiding walk on random conductors on a tree