66 citations · 341 across the 46 of their papers we have counts for
49 papers
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…
Optimal Weights in a Two-Tier Voting System with Mean-Field Voters
Werner Kirsch, Gabor Toth
We analyse two-tier voting systems with voters described by a multi-group mean-field model that allows for correlated voters both within groups as well as across group boundaries.…
Collective Bias Models in Two-Tier Voting Systems and the Democracy Deficit
Werner Kirsch, Gabor Toth
We analyse optimal voting weights in two-tier voting systems. In our model, the overall population (or union) is split in groups (or member states) of different sizes. The individu…
Limit Theorems for Multi-Group Curie-Weiss Models via the Method of Moments
Werner Kirsch, Gabor Toth
We study a multi-group version of the mean-field or Curie-Weiss spin model. For this model, we show how, analogously to the classical (single-group) model, the three temperature re…