4 problems

Consider a one-dimensional ergodic Schrödinger operator modeling a sample attached to two electronic reservoirs, with transport described by the Landauer–Büttiker and Thouless cond…

Let $g=g(s,N,\lambda)$ be the conductance of a disordered quantum wire, let $\beta$ be the Dyson symmetry index, and let $s$ and $N$ denote the rescaled length and width. Ohm's law…

Let $g=g(s,N,\lambda)$ be the conductance of a disordered quantum wire, let $\beta$ be the Dyson symmetry index, and let $s$ and $N$ denote the rescaled length and width. Universal…

The all-order asymptotic cumulant conjecture. The displayed asymptotic formula holds for all $r\geq 3$.