2 problems

For positive $K$ and $alpha$, let $F=F_{K,\alpha,n}:[0,1]\to\mathbb{R}$ be the free energy defined by … where $H$ is binary entropy and $q_K(\beta)$ is the pair probability for two…

Let $A$ be the random matrix and let $\mathrm{disc}(A)$ denote its discrepancy, with $K_c$ the critical threshold. A random variable is subgaussian at scale $1/n^2$ if it has subga…