6 problems

Let $K_{\mathbf{F}}(\tau,\tau^*)$ be the dissipative spectral form factor for matrices over $\mathbf{F}$, and let $J_1$ denote the Bessel function appearing in the formula. Let…

Let $K_{\mathbf{C}}(\tau,\tau^*)$ denote the dissipative spectral form factor for a complex matrix $X$, and let a non-Hermitian chaotic operator mean a chaotic operator whose spect…

Burda et al.'s large-$N$ solution conjecture. These explicit solutions are valid in the limit $N\to\infty$.

Burda et al.'s inviscid Hamilton–Jacobi conjecture. In the limit $N\to\infty$, this equation reduces to

Burda et al.'s effective-potential conjecture. In the limit $N\to\infty$, $\varphi(z,w;t)$ can be replaced by $\phi(z,w;t)$. This replaces the order of expectation and logarithm in…

Let $\xi_c(w)$ denote the critical value at which the first pair of eigenvalues of the two-dimensional Anderson model becomes complex, and let $\gamma_1$ be the inverse localizatio…