66 citations · 341 across the 46 of their papers we have counts for
4 papers · 1 filter
Interval Type Local Limit Theorems for Lattice Type Random Variables and Distributions
Michael Fleermann, Werner Kirsch, Gabor Toth
In this paper, we propose a new interpretation of local limit theorems for univariate and multivariate distributions on lattices. We show that - given a local limit theorem in the…
Local Central Limit Theorem for Multi-Group Curie-Weiss Models
Michael Fleermann, Werner Kirsch, Gabor Toth
We define a multi-group version of the mean-field spin model, also called Curie-Weiss model. It is known that, in the high temperature regime of this model, a central limit theorem…
Analyticity of density of states for the Cauchy distribution
Werner Kirsch, M. Krishna
We compute the density of states for the Cauchy distribution for a large class of random operators and show it is analytic in a strip about the real axis.
Quantum Lattice Wave Guides with Randomness -- Localisation and Delocalisation
Werner Kirsch, M. Krishna
In this paper we consider Schrödinger operators on , with (`quantum wave guides') with a `-trimmed' random potentia…