Central limit theorems for the nearest neighbour embracing graph in Euclidean and hyperbolic space

Holger Sambale, Christoph Thäle, Tara Trauthwein

Consider a stationary Poisson process $\eta$ in the $d$-dimensional Euclidean or hyperbolic space and construct a random graph with vertex set $\eta$ as follows. First, each point $x\inη…