17 citations · 28 across the 6 of their papers we have counts for
6 papers
From the discrete to the continuous, from simplicial complexes to Riemannian manifolds. Approximating flows and cuts on manifolds by discrete versions
Marzieh Eidi, Juergen Jost, Dong Zhang
Many fundamental structures of Riemannian geometry have found discrete counterparts for graphs or combinatorial ones for simplicial complexes. These include those discussed in this…
Efficient set-theoretic algorithms for computing high-order Forman-Ricci curvature on abstract simplicial complexes
Danillo Barros de Souza, Jonatas T. S. da Cunha, Fernando A. N. Santos +2
Forman-Ricci curvature (FRC) is a potent and powerful tool for analysing empirical networks, as the distribution of the curvature values can identify structural information that is…
Diachronic Data Analysis Supports and Refines Conceptual Metaphor Theory
Marie Teich, Wilmer Leal, Juergen Jost
As a contribution to metaphor analysis, we introduce a statistical, data-based investigation with empirical analysis of long-standing conjectures and a first-ever empirical explora…
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…
Geometric analysis aspects of infinite semiplanar graphs with nonnegative curvature II
Bobo Hua, Juergen Jost
In a previous paper Hua-Jost-Liu, we have applied Alexandrov geometry methods to study infinite semiplanar graphs with nonnegative combinatorial curvature. We proved the weak relat…
Synchronized chaos in networks of simple units
Frank Bauer, Fatihcan M. Atay, Juergen Jost
We study synchronization of non-diffusively coupled map networks with arbitrary network topologies, where the connections between different units are, in general, not symmetric and…