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math.PR2022
Higher order concentration on Stiefel and Grassmann manifolds
Friedrich Götze, Holger Sambale
We prove higher order concentration bounds for functions on Stiefel and Grassmann manifolds equipped with the uniform distribution. This partially extends previous work for functio…
math.PR2022
Probabilistic Limit Theorems Induced by the Zeros of Polynomials
Nils Heerten, Holger Sambale, Christoph Thäle
Sequences of discrete random variables are studied whose probability generating functions are zero-free in a sector of the complex plane around the positive real axis. Sharp bounds…
math.PR2022
Large deviations for uniform projections of -radial distributions on -balls
Tom Kaufmann, Holger Sambale, Christoph Thäle
We consider products of uniform random variables from the Stiefel manifold of orthonormal -frames in , , and random vectors from the -dimensional $\ell…