3 papers
math.CO2026
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…
math.CO2026
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…
math.PR2021
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…