2 problems

Let the equilibrium measure have a singularity at a single point $p\in S_W$, with vanishing or diverging behaviour of the form … for some $d\in\mathbb{N}$. Let $\chi$ denote the Eu…

In the lemniscate ensemble, let $x=\{n/d\}$ denote the fractional part of $n/d$. The oscillatory contribution to the free energy is compared with the theta-function expression aris…