3 problems

Let $\nu$ be a probability measure on $\mathbb{R}^3$, let $\bar{\nu}$ be its $(0,1)$-marginal, and let $\pi$ and $\bar{\pi}$ denote the invariant measure of the Markov local-field…

Let $\rho_t$ and $\mu_t$ denote, respectively, the laws at time $t \geq 0$ of solutions to the local-field equation (LFE) and the Markov local-field equation (MLFE). Let $d$ be a s…

Sign-count conjecture. There are $n$ branch points on the associated hyperelliptic curve for which $D(S)<0$ and $n+1$ branch points for which $D(S)>0$.