Ercan Sonmez

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math.PR2026

Peaks over Threshold in Scale-Free Random Graphs

Arnaud Rousselle, Ercan SÃ¶nmez

We explore extreme value phenomena in spatial scale-free random graphs in a continuum setting based on a homogeneous Poisson point process in $R^{d}$ . Vertices carry i.i.d.…

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 $…