3 problems

Let $D_{\infty}$ denote the infinite Ehrenfest process and let $L$ be the Ornstein–Uhlenbeck operator. An intertwining existence conjecture. There exists a non-trivial intertwining…

Let $S$ be a finite set, let $r:S\times S\to[0,\infty)$ be symmetric, and let $J_i^\pm,J_i^0$ and $K_i^\pm,K_i^0$ be the operators on the symmetric exclusion process defined by ……

Multilevel coupling generator conjecture. Iteratively applying the intertwining formulas should yield a coupling of the $\beta$-Dyson Brownian motions in dimensions $1,2,\ldots,N$…