15 citations · 101 across the 48 of their papers we have counts for
4 papers · 2 filters
Gaussian fluctuations for high-dimensional random projections of -balls
David Alonso-Gutierrez, Joscha Prochno, Christoph Thaele
In this paper, we study high-dimensional random projections of -balls. More precisely, for any let be a random subspace of dimension $k_n\in\{1,\ldo…
Monotonicity of expected -vectors for projections of regular polytopes
Zakhar Kabluchko, Christoph Thäle
Let be an -dimensional regular polytope from one of the three infinite series (regular simplices, regular crosspolytopes, and cubes). Project onto a random, uniforml…
Multivariate central limit theorems for Rademacher functionals with applications
Kai Krokowski, Christoph Thaele
Quantitative multivariate central limit theorems for general functionals of possibly non-symmetric and non-homogeneous infinite Rademacher sequences are proved by combining discret…
Gaussian fluctuations for edge counts in high-dimensional random geometric graphs
Jens Grygierek, Christoph Thaele
Consider a stationary Poisson point process in and connect any two points whenever their distance is less than or equal to a prescribed distance parameter. This cons…