148 citations
- Friedrich-Alexander-Universität Erlangen-NürnbergDE7 papers
- Ludwig-Maximilians-Universität MünchenDE7 papers
- Stockholm UniversitySE7 papers
- Ruhr University BochumDE6 papers
- University College LondonGB6 papers
- City University of Hong KongHK5 papers
- Consejo Superior de Investigaciones CientíficasES5 papers
- University of SalernoIT5 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Grupo de Física MatemáticaPT4 papers
- Hong Kong Polytechnic UniversityHK4 papers
- Saarland UniversityDE4 papers
12 papers · 1 filter
The geometry of controlled rough paths
Mazyar Ghani Varzaneh, Sebastian Riedel, Alexander Schmeding +1
We prove that the spaces of controlled (branched) rough paths of arbitrary order form a continuous field of Banach spaces. This structure has many similarities to an (infinite-dime…
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…
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…