2 problems

Let $f$ be a continuous centred non-degenerate stationary Gaussian field on either $\mathbb{R}^d$ or $\mathbb{Z}^d$. A persistence, or hard wall event, is an event of the form…

Let $m_1,m_2,\ldots,m_d$ be the functions from Section PRE, with $m_i\equiv 1$ for $i\in\{1,2,\ldots,j\}$. Let $\nu_1,\nu_2,\ldots,\nu_j$ be the positive functions whose existence…