15 citations · 101 across the 48 of their papers we have counts for
5 papers · 1 filter
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…
Random polytopes: central limit theorems for intrinsic volumes
Christoph Thaele, Nicola Turchi, Florian Wespi
Short and transparent proofs of central limit theorems for intrinsic volumes of random polytopes in smooth convex bodies are presented. They combine different tools such as estimat…
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…