Tue, 30 Jun 2026 (15.45 h, room 2.58)

Christoph Thäle (Uni Bochum)

This talk explores recent advances in hyperbolic stochastic geometry, focusing primarily on Boolean models in $d$-dimensional hyperbolic space $\mathbb{H}^d$. More precisely, we study the visibility horizon in Euclidean and hyperbolic spaces, which is exponentially distributed in both settings. We then investigate the extent to which this phenomenon is driven by the geometry of the underlying space. We also examine phase transitions for the mean visible volume. If time permits, we will compare our findings with those for the zero cell in a hyperbolic Poisson hyperplane tessellation.