2 problems

Let $\lambda(t)$ be a stationary and ergodic baseline intensity, and for each modulation rate $c\in(0,\infty)$ define $\lambda_c(t)=\lambda(ct)$. Consider the queue driven by the c…

Let $\mathscr{K}'$ be the disjoint union of $\mathcal{M}_{+,1}(\mathbb{R})\times(0,\infty)$ and $0$, and let $\mathcal{M}_{\mathrm{st}}(\mathscr{K}')$ denote measures invariant und…