We have assumed that A i j ∈ ∈ { 0 , 1 } for MERW corresponding to uniform ensemble among paths. However, the above derivation works for real nonnegative A . Parametrizing A i j = exp ⁡ ⁡ ( − − E i j ) and asking for probability of length l path ( γ γ 0 , … … , γ γ l ) , we get: