10 citations · 14 across the 4 of their papers we have counts for
4 papers · 1 filter
Discrete Malliavin-Stein method: Berry-Esseen bounds for random graphs and percolation
Kai Krokowski, Anselm Reichenbachs, Christoph Thaele
A new Berry-Esseen bound for non-linear functionals of non-symmetric and non-homogeneous infinite Rademacher sequences is established. It is based on a discrete version of the Mall…
Berry-Esseen bounds and multivariate limit theorems for functionals of Rademacher sequences
Kai Krokowski, Anselm Reichenbachs, Christoph Thaele
Berry-Esseen bounds for non-linear functionals of infinite Rademacher sequences are derived by means of the Malliavin-Stein method. Moreover, multivariate extensions for vectors of…
On the accuracy of the normal approximation for the free energy in the REM
Raphael Meiners, Anselm Reichenbachs
In the present paper we consider the fluctuations of the free energy in the random energy model (REM) on a moderate deviation scale. We find that for high temperatures the normal a…
Moderate Deviations for a Curie-Weiss model with dynamical external field
Anselm Reichenbachs
In the present paper we prove moderate deviations for a Curie-Weiss model with external magnetic field generated by a dynamical system, as introduced by Dombry and Guillotin-Planta…