6 citations · 9 across the 14 of their papers we have counts for
3 papers · 1 filter
Thin-shell concentration for random vectors in Orlicz balls via moderate deviations and Gibbs measures
David Alonso-Gutiérrez, Joscha Prochno
In this paper, we study the asymptotic thin-shell width concentration for random vectors uniformly distributed in Orlicz balls. We provide both asymptotic upper and lower bounds on…
Large deviations, moderate deviations, and the KLS conjecture
David Alonso-Gutiérrez, Joscha Prochno, Christoph Thaele
Having its origin in theoretical computer science, the Kannan-Lovász-Simonovits (KLS) conjecture is one of the major open problems in asymptotic convex geometry and high-dimensiona…
Large deviations for high-dimensional random projections of -balls
David Alonso-Gutiérrez, Joscha Prochno, Christoph Thaele
The paper provides a description of the large deviation behavior for the Euclidean norm of projections of -balls to high-dimensional random subspaces. More precisely, for…