6 citations · 6 across the 6 of their papers we have counts for
6 papers
Central limit theorems for high dimensional lattice polytopes: cosmological polytopes
Torben Donzelmann, Martina Juhnke, Benedikt Rednoß +1
We study cosmological polytopes induced by Erdős--Rényi random graphs in a high-dimensional regime. These graph-based lattice polytopes form a natural model of random lattice polyt…
Central limit theorems for high dimensional lattice polytopes: symmetric edge polytopes
Torben Donzelmann, Martina Juhnke, Benedikt Rednoß +1
We investigate symmetric edge polytopes generated by Erdős--Rényi random graphs in a high-dimensional regime. These objects provide a natural and largely unexplored model of random…
Quantification of the Fourth Moment Theorem for Cyclotomic Generating Functions
Benedikt Rednoß, Christoph Thäle
This paper deals with sequences of random variables only taking values in . The probability generating functions of such random variables are polynomials of d…
Moderate Deviations for Functionals over infinitely many Rademacher random variables
Marius Butzek, Peter Eichelsbacher, Benedikt Rednoß
In this paper, moderate deviations for normal approximation of functionals over infinitely many Rademacher random variables are derived. They are based on a bound for the Kolmogoro…
A simplified second-order Gaussian Poincaré inequality in discrete setting with applications
Peter Eichelsbacher, Benedikt Rednoß, Christoph Thäle +1
In this paper, a simplified second-order Gaussian Poincaré inequality for normal approximation of functionals over infinitely many Rademacher random variables is derived. It is bas…
Kolmogorov bounds for decomposable random variables and subgraph counting by the Stein-Tikhomirov method
Peter Eichelsbacher, Benedikt Rednoß
In his work \cite{Ti80}, Tikhomirov combined elements of Stein's method with the theory of characteristic functions to derive Kolmogorov bounds for the convergence rate in the cent…