3 problems

Let $X$ be the Lévy process in the paper, let $\tau_1$ be its first killing time in the resurrection construction, let $\tau_n$ be the successive killing times, let $\tau$ denote t…

Let $\rho$ be a regular probability density on $\mathbb{R}^d$, let $\cov_\rho$ denote its covariance matrix, and consider the Markov kernel induced by $N$-fold convolution with…

Extension conjecture. The second part of the corollary holds for any $\nu\geq 1$; namely, if $\lim_{n\rightarrow\infty}\sigma_{n,i}=0$ for all $i$, then conditions $-$ hold under