The optimal scalar-fluctuation upper-bound conjecture for random band matrices
Scalar-fluctuation upper-bound conjecture. If ε>0\varepsilon>0ε>0 is small, ∣λ∣<ε|\lambda|<\varepsilon∣λ∣<ε, M≥CεM\geq C_\varepsilonM≥Cε, and 1<k<N1<k<N1<k<N, then