6 problems

Integrated stable-process tail conjecture. One has

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

Let $F(s)$ be the Laplace transform expression … For $1 \leq \gamma < 2$, the parameters satisfy $s,K>0$, and $F(s)$ is associated with the first-passage-time problem. Complete mon…

Consider diffusion with diffusivity $D>0$ between an inner spherical target of radius $R_0$ and an outer spherical target of radius $R_1>R_0$, with starting radius $\|X(0)\|$ satis…

Let $F_1(t)$ denote the probability density or hitting-time contribution associated with the target $V_1$ in the one-dimensional diffusion problem. Let $L_1$ be the starting distan…

Let $D$ denote the diffusion matrix in equation, whose correlation matrix is … The variables $t^S$ and ${\bf x}^S$ denote the first-passage time and first-passage position associat…