4 problems

Integrated stable-process tail conjecture. One has

Shi's conjecture. Suppose that $Z$ is symmetric and that $\alpha>1$. Then

For $m\in\mathbb{N}$, let $W_m^{[\beta_1,\ldots,\beta_m]}$ be the $m$-times integrated Wiener process, where each $\beta_j$ is either $0$ or $1$. In the small-ball asymptotic … whe…

Continuous–discrete survival-probability conjecture. For any process $X$ from the class $\mathcal{X}$, under suitable conditions on $\mathcal{I}$, these probabilities should be com…