2 problems

Let $S_u=\{(x,y)\in\mathbb{R}^2:|x|+|y|<u\}$, where $0\leq u\leq ct$, and let $\{(X(t),Y(t))\}_{t\geq 0}$ be the reflecting orthogonal motion, with $Z(t)=|X(t)|+|Y(t)|$. Let…

Let $\{\mathcal{T}(t)\}_{t\geq 0}$ be a symmetric telegraph process with speed $c>0$, initial velocity $V(0)=c$, and $N(t)$ velocity reversals by time $t$. For $k\in\mathbb{N}$ and…