5 problems

Aging conjecture.

Let $L(n)$ denote the stationary last-passage percolation passage time, let $a>1$, and let $C$ be the variance of the Baik–Rains distribution. Fukai–Sasamoto covariance conjecture.…

Let $(Z_j(t))_{t\geq 0}$ solve the parabolic Anderson model on $\mathbb{Z}^d$ with inverse temperature $\beta>0$, and let $\operatorname{Corr}$ denote the correlation coefficient.…

Let $R_N$ be the random scaling defined in the paper, let $\beta$ and $\alpha$ be the model parameters, and let $h(N)$ be a function growing at most sub-exponentially. Deterministi…

Let $\alpha\in(0,1)$ be the exponent governing the randomly biased random walk. Aging conjecture. In the case of randomly biased random walks, aging similar to the result establish…