4 problems

Consider the kernel … where $\delta,\varepsilon>0$, and let $d^{(n)}$ denote the $n$-fold quantity appearing in the condition for strong sharpness, with norm…

Let $d$ denote the dimension, let $q_\varphi$ be the integral of the connection function, let $\lambda_c$ be the critical intensity, and let $\varphi^{\star k}(\mathbf{0})$ and…

Let $t_c$ be the critical intensity of the random connection model, let $\chi_t^0$ denote the random connection function associated with intensity $t$, and let $C(0,\chi_t^0)$ be t…

Let $\rho$ be the vertex density of a soft random geometric graph on a bounded domain $\mathcal{V}\subseteq\mathbb{R}^{d}$, with connection probability between $x,y\in\mathcal{V}$…