Tom Garcia-Sanchez

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20242026

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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…