56 citations · 199 across the 30 of their papers we have counts for
4 papers · 1 filter
Grassmann angles and absorption probabilities of Gaussian convex hulls
Friedrich Götze, Zakhar Kabluchko, Dmitry Zaporozhets
Let be an arbitrary subset in with a conic (or positive) hull . Consider its Gaussian image , where is a -matrix whose entries are independe…
Local semicircle law under fourth moment condition
Friedrich Götze, Alexey Naumov, Alexander Tikhomirov
We consider a random symmetric matrix with upper triangular entries being independent random variables with mean zero and unit variance. Assuming tha…
Concentration inequalities for polynomials in -sub-exponential random variables
Friedrich Götze, Holger Sambale, Arthur Sinulis
In this work we derive multi-level concentration inequalities for polynomial functions in independent random variables with a -sub-exponential tail decay. A particularly interes…
Non-crossing partitions
Barbara Baumeister, Kai-Uwe Bux, Friedrich Götze +2
Non-crossing partitions have been a staple in combinatorics for quite some time. More recently, they have surfaced (sometimes unexpectedly) in various other contexts from free prob…