2 problems

Let $\Gamma$ be the relevant group, let $\sigma$ be a multiplier on $\Gamma$ with $\delta(\sigma)=0$, and let … be the pairing of the cohomology class of $\sigma$ with the fundamen…

Let $\alpha$ be irrational, let $v\in C^\omega(\mathbb T,\mathbb R)$, and let $\Sigma_{v,\alpha}$ be the spectrum with integrated density of states $N_{v,\alpha}$. A type I energy…