2 problems

Let $\Sigma_L(\beta)$ denote the effective diffusivity of the winding number of a directed polymer in a white noise environment with period $L$, and let $\Sigma_1(\beta)$ be the di…

Let $E(t)={\mathbf E}(X(t)^2)$, and suppose that for some $-1<\alpha<1$ the infrared bounds … hold. Diffusivity exponent conjecture. Under these conditions, the true asymptotic ord…