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math.PR2024
Central limit theorems for the nearest neighbour embracing graph in Euclidean and hyperbolic space
Holger Sambale, Christoph Thäle, Tara Trauthwein
Consider a stationary Poisson process in the -dimensional Euclidean or hyperbolic space and construct a random graph with vertex set as follows. First, each point $x\inη…
math.PR2024
Concentration of measure on spheres and related manifolds
Friedrich Götze, Holger Sambale
We study various generalizations of concentration of measure on the unit sphere, in particular by means of log-Sobolev inequalities. First, we show Sudakov-type concentration resul…