6 citations · 10 across the 6 of their papers we have counts for
7 papers · 1 filter
Proof Methods in Random Matrix Theory
Michael Fleermann, Werner Kirsch
In this survey article, we give an introduction to two methods of proof in random matrix theory: The method of moments and the Stieltjes transform method. We thoroughly develop the…
The Central Limit Theorem for Weakly Dependent Random Variables by the Moment Method
Michael Fleermann, Werner Kirsch
In this paper, we derive a central limit theorem for collections of weakly correlated random variables indexed by discrete metric spaces, where the correlation decays in the distan…
Random Band and Block Matrices with Correlated Entries
Riccardo Catalano, Michael Fleermann, Werner Kirsch
In this paper, we derive limit laws for the empirical spectral distributions of random band and block matrices with correlated entries. In the first part of the paper, we study ban…
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…
Local Semicircle Law for Curie-Weiss Type Ensembles
Michael Fleermann, Werner Kirsch, Thomas Kriecherbauer
We derive and compare various forms of local semicircle laws for random matrices with exchangeable entries which exhibit correlations that decay at a very slow rate. In fact, any $…
The Almost Sure Semicircle Law for Random Band Matrices with Dependent Entries
Michael Fleermann, Werner Kirsch, Thomas Kriecherbauer
We analyze the empirical spectral distribution of random periodic band matrices with correlated entries. The correlation structure we study was first introduced in 2015 by Hochstät…