Panagiotis Spanos

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math.PR2025

Wicksell's corpuscle problem in spaces of constant curvature

Panagiotis Spanos, Christoph ThÃ¤le

In this paper, we study Wicksell's corpuscle problem in spaces of constant curvature, thus extending the classical Euclidean framework. We consider a particle process of balls with…

math.PR2025

Spread-out percolation on transitive graphs of polynomial growth

Panagiotis Spanos, Matthew Tointon

Let $G$ be a vertex-transitive graph of superlinear polynomial growth. Given $r > 0$ , let $G_{r}$ be the graph on the same vertex set as $G$ , with two vertices joined by an edge if and…

math.PR2024

Intersection probabilities for flats in hyperbolic space

Ercan SÃ¶nmez, Panagiotis Spanos, Christoph ThÃ¤le

Consider the $d$ -dimensional hyperbolic space $M_{K}^{d}$ of constant curvature $K < 0$ and fix a point $o$ playing the role of an origin. Let $L$ be a uniform random $…