Karoline Dubin

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math.PR2026

The geometry of the giant component of random geometric graphs

Karoline Dubin, Christian Gorski, Marcus Michelen

Consider a random geometric graph $G_{M} (n; r)$ whose vertex set consists of $n$ points chosen independently and uniformly from a Riemannian manifold $M$ , with edges joining pairs of…

math.PR2026

Lipschitz continuity of the time constant for continuum percolation

Karoline Dubin, Christian Gorski

We consider the Boolean model of continuum percolation, where points are placed in $R^{d}$ by a Poisson point process and pairs of points with distance at most 1 are connect…