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math.PR2024
Intersection probabilities for flats in hyperbolic space
Ercan Sönmez, Panagiotis Spanos, Christoph Thäle
Consider the -dimensional hyperbolic space of constant curvature and fix a point playing the role of an origin. Let be a uniform random $…
math.MG2024
A Blaschke-Petkantschin formula for linear and affine subspaces with application to intersection probabilities
Emil Dare, Markus Kiderlen, Christoph Thaele
Consider a uniformly distributed random linear subspace and a stochastically independent random affine subspace in , both of fixed dimension. For a natural cl…
math.PR2024
Quantification of the Fourth Moment Theorem for Cyclotomic Generating Functions
Benedikt Rednoß, Christoph Thäle
This paper deals with sequences of random variables only taking values in . The probability generating functions of such random variables are polynomials of d…