8 citations · 12 across the 5 of their papers we have counts for
9 papers · 1 filter
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…
A new look at random projections of the cube and general product measures
Zakhar Kabluchko, Joscha Prochno, Christoph Thaele
A strong law of large numbers for -dimensional random projections of the -dimensional cube is derived. It shows that with respect to the Hausdorff distance a properly normali…
Concentration inequalities for functionals of Poisson cylinder processes
Anastas Baci, Carina Betken, Anna Gusakova +1
Random union sets associated with stationary Poisson processes of -cylinders in are considered. Under general conditions on the typical cylinder base a concen…
High-dimensional limit theorems for random vectors in -balls. II
Zakhar Kabluchko, Joscha Prochno, Christoph Thaele
In this article we prove three fundamental types of limit theorems for the -norm of random vectors chosen at random in an -ball in high dimensions. We obtain a central…
Sanov-type large deviations in Schatten classes
Zakhar Kabluchko, Joscha Prochno, Christoph Thaele
Denote by the eigenvalues of an -matrix . Let be an -matrix chosen uniformly at random from the matrix analogue to the c…
Beta polytopes and Poisson polyhedra: -vectors and angles
Zakhar Kabluchko, Christoph Thaele, Dmitry Zaporozhets
We study random polytopes of the form defined as convex hulls of independent and identically distributed random points in with on…