124 citations · 548 across the 41 of their papers we have counts for
47 papers
Reverse Bernstein Inequality on the Circle
Parvaneh Joharinad, Jürgen Jost, Sunhyuk Lim +1
The more then hundred years old Bernstein inequality states that the supremum norm of the derivative of a trigonometric polynomial of fixed degree can be bounded from above by supr…
Local Detour Centrality: A Novel Local Centrality Measure for Weighted Networks
Haim Cohen, Yinon Nachshon, Paz M. Naim +3
Centrality, in some sense, captures the extent to which a vertex controls the flow of information in a network. Here, we propose Local Detour Centrality as a novel centrality-based…
Parametric models and information geometry on W*-algebras
Florio M. Ciaglia, Fabio Di Nocera, Jürgen Jost +1
We introduce the notion of smooth parametric model of normal positive linear functionals on possibly infinite-dimensional W*-algebras generalizing the notions of parametric models…
Geometry of Data
Parvaneh Joharinad, Jürgen Jost
Topological data analysis asks when balls in a metric space intersect. Geometric data analysis asks how much balls have to be enlarged to intersect. We connect this princip…
Spectral theory of the non-backtracking Laplacian for graphs
Jürgen Jost, Raffaella Mulas, Leo Torres
We introduce a non-backtracking Laplace operator for graphs and we investigate its spectral properties. With the use of both theoretical and computational techniques, we show that…
Characterizations of Forman curvature
Jürgen Jost, Florentin Münch
We characterize Forman curvature lower bounds via contractivity of the Hodge Laplacian semigroup. We prove that Ollivier and Forman curvature coincide on edges when maximizing the…