6 problems

Kastoryano–Temme's regularity conjectures. Primitive QMS are weakly $\mathbb{L}_p$-regular with $d_0=0$, and reversible QMS are strongly $\mathbb{L}_p$-regular with $d_0=0$.

Self-adjoint Lindbladian conjecture. For every self-adjoint Lindbladian $L$,

Complete CLSI anti-transference conjecture. The corresponding unregularized constant should satisfy

Let $\mathcal{L}:\mathcal{M}_d\rightarrow\mathcal{M}_d$ be a primitive Liouvillian. A Liouvillian is weakly and strongly $\mathbbm{L}_p$-regular when it satisfies, respectively, th…

Let $V\in C^2(\mathbb{R})$ satisfy the potential condition from the source, and let $\Delta$ be the parameter governing the limiting case. A normal invariant state is a density ope…

Let $V$ be the potential, let $D_{pp}$, $D_{qp}$, and $D_{qq}$ be the diffusion constants, let $\gamma$ be the friction, let $\omega$ be the oscillator frequency, and let $\Delta$…