3 papers
math.CO2026
Central limit theorems for high dimensional lattice polytopes: cosmological polytopes
Torben Donzelmann, Martina Juhnke, Benedikt Rednoà +1
We study cosmological polytopes induced by ErdÅs--Rényi random graphs in a high-dimensional regime. These graph-based lattice polytopes form a natural model of random lattice pol…
math.CO2026
Central limit theorems for high dimensional lattice polytopes: symmetric edge polytopes
Torben Donzelmann, Martina Juhnke, Benedikt Rednoà +1
We investigate symmetric edge polytopes generated by ErdÅs--Rényi random graphs in a high-dimensional regime. These objects provide a natural and largely unexplored model of rand…
math.PR2024
Moderate Deviations for Functionals over infinitely many Rademacher random variables
Marius Butzek, Peter Eichelsbacher, Benedikt RednoÃ
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…