5 problems

Let $\boldsymbol{\boldsymbol{\rm HP}}_{\mathfrak{s}}$ denote the invariant measure for the hypergeometric-Pearson entire-function process, and let…

Let $T_t^{[m]}$ be the semigroup under consideration, and let its associated Dirichlet form be a lower Dirichlet form in the sense of the cited reference. Assume that tagged partic…

Let $m_i$ be positive continuous functions on $\mathbb{R}$ such that $\lim_{|x|\to\infty}m_i(x)=\infty$ for $i=1,2$. Let $(\underline{\mathcal{E}},\underline{\operatorname{dom}})$…

Fix drift parameters $(g_n)_{n\geq 1}$ and a parameter $a$ as in Theorem. Consider an infinite system of competing Brownian particles started from … and with the initial gaps distr…

Mixture classification conjecture. Under these conditions, every stationary gap distribution of an infinite system of competing Brownian particles is equal to $\pi_\rho$ for some p…