Weak-disorder moment conjecture for two-dimensional Gaussian polymers
Weak-disorder moment conjecture. For all δ∈(0,1)\delta\in(0,1)δ∈(0,1) and β^∈(0,1)\hat\beta\in(0,1)β^∈(0,1), uniformly for all q<(1−δ)q⋆(N,β^)q<(1-\delta)q_\star(N,\hat\beta)q<(1−δ)q⋆(N,β^), as N→∞N\to\inftyN→∞,