10 citations · 17 across the 4 of their papers we have counts for
4 papers
Random walks and Laplacians on hypergraphs: When do they match?
Raffaella Mulas, Christian Kuehn, Tobias Böhle +1
We develop a general theory of random walks on hypergraphs which includes, as special cases, the different models that are found in literature. In particular, we introduce and anal…
On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs
Tobias Böhle, Christian Kuehn, Mechthild Thalhammer
In this work, a novel approach for the reliable and efficient numerical integration of the Kuramoto model on graphs is studied. For this purpose, the notion of order parameters is…
Coupled Hypergraph Maps and Chaotic Cluster Synchronization
Tobias Böhle, Christian Kuehn, Raffaella Mulas +1
Coupled map lattices (CMLs) are prototypical dynamical systems on networks/graphs. They exhibit complex patterns generated via the interplay of diffusive/Laplacian coupling and non…
Mathematical Analysis of Nonlocal PDEs for Network Generation
Tobias Böhle, Christian Kuehn
In this paper, we study a certain class of nonlocal partial differential equations (PDEs). The equations arise from a key problem in network science, i.e., network generation from…