Four-dimensional subdiffusive heat-kernel decay conjecture
Let d=4d=4d=4, and let P\mathbb PP be any i.i.d. environment law satisfying P(0<ωb≤1)=1\mathbb P(0<\omega_b\leq 1)=1P(0<ωb≤1)=1. Write \cmssPω2n(0,0)\cmss P_\omega^{2n}(0,0)\cmssPω2n(0,0) for the quenched return probability at tim…