124 citations · 548 across the 41 of their papers we have counts for
11 papers · 1 filter
Differential geometric aspects of parametric estimation theory for states on finite-dimensional C*-algebras
Florio M. Ciaglia, Jürgen Jost, Lorenz Schwachhöfer
A geometrical formulation of estimation theory for finite-dimensional -algebras is presented. This formulation allows to deal with the classical and quantum case in a si…
Edge-based analysis of networks: Curvatures of graphs and hypergraphs
Marzieh Eidi, Amirhossein Farzam, Wilmer Leal +2
The relations, rather than the elements, constitute the structure of networks. We therefore develop a systematic approach to the analysis of networks, modelled as graphs or hypergr…
Geometric Sampling of Networks
Vladislav Barkanass, Jürgen Jost, Emil Saucan
Motivated by the methods and results of manifold sampling based on Ricci curvature, we propose a similar approach for networks. To this end we make appeal to three types of discret…
Normalized Laplace Operators for Hypergraphs with Real Coefficients
Jürgen Jost, Raffaella Mulas
Chemical hypergraphs and their associated normalized Laplace operators are generalized and studied in the case where each vertex--hyperedge incidence has a real coefficient. We sys…
Network geometry and market instability
Areejit Samal, Hirdesh K. Pharasi, Sarath Jyotsna Ramaia +4
The complexity of financial markets arise from the strategic interactions among agents trading stocks, which manifest in the form of vibrant correlation patterns among stock prices…
Degree difference: A simple measure to characterize structural heterogeneity in complex networks
Amirhossein Farzam, Areejit Samal, Jürgen Jost
Despite the growing interest in characterizing the local geometry leading to the global topology of networks, our understanding of the local structure of complex networks, especial…