4 problems

Let $N$ denote the truncation size used in the Lanczos-based approximation of the diffusion constant. Convergence-rate conjecture. The rate of convergence goes as … The conjecture…

Let $b_n$ be the Lanczos coefficients for a chaotic local Hamiltonian in spatial dimension $d$, and let $b1$ and $b3$ denote constants. Operator Growth Hypothesis. The leading…

Let $G_k=[g_k^{(1)},g_k^{(2)},\ldots,g_k^{(K)}]$ be a sequence of input sets whose ranges approximate surface distributions at the observable boundary $S\subset\partial\Omega$ as…

Let $\Sigma\subset\mathbb{C}$ be the set of spectral points, and let $V_0$ and $Q_0$ be the solution basis and Lanczos matrix corresponding to the background $q_0=0$. Let $T$ be th…