Tom Garcia-Sanchez

collaborators

3 papers

math.PR2026

Connected components and topological ends of stationary planar forests

Tom Garcia-Sanchez

We study the topological structure of random geometric forests $G$ in the Euclidean plane under mild assumptions: non-crossing edges, stationarity, and finite edge intensity. The f…

math.PR2026

The Radial Spanning Tree is straight in all dimensions

Tom Garcia-Sanchez

The Radial Spanning Tree (RST) in dimension $d \geq 2$ is a random geometric graph constructed on a homogeneous Poisson point process $N$ in $R^{d}$ augmented by the o…

math.PR2025

The Directed Spanning Forest: coalescence versus dimension

Tom Garcia-Sanchez

For $p \in [1, \infty]$ , the $ℓ^{p}$ directed spanning forest (DSF) of dimension $d \geq 2$ is an oriented random geometric graph whose vertex set is given by a homogeneous Poisson po…