3 papers
nlin.AO2019
An adaptive voter model on simplicial complexes
Leonhard Horstmeyer, Christian Kuehn
Collective decision making processes lie at the heart of many social, political and economic challenges. The classical voter model is a well-established conceptual model to study s…
math.DS2019
Partially observable systems and quotient entropy via graphs
Leonhard Horstmeyer, Sharwin Rezagholi
We consider the category of partially observable dynamical systems, to which the entropy theory of dynamical systems extends functorially. This leads us to introduce quotient-topol…
math.DG2016
Characterization of Exact Lumpability for Vector Fields on Smooth Manifolds
Leonhard Horstmeyer, Fatihcan M. Atay
We characterize the exact lumpability of smooth vector fields on smooth manifolds. We derive necessary and sufficient conditions for lumpability and express them from four differen…