46 citations · 133 across the 42 of their papers we have counts for
8 papers · 1 filter
Inequalities between Dirichlet and Neumann Eigenvalues on Surfaces
Bobo Hua, Florentin Münch, Haohang Zhang
For a bounded Lipschitz domain in a Riemannian surface satisfying certain curvature condition, we prove that where ( resp.) is the -…
The convergence and uniqueness of a discrete-time nonlinear Markov chain
Ruowei Li, Florentin Münch
In this paper, we prove the convergence and uniqueness of a general discrete-time nonlinear Markov chain with specific conditions. The results have important applications in discre…
Cheeger type inequalities associated with isocapacitary constants on graphs
Bobo Hua, Florentin Münch, Tao Wang
In this paper, we introduce Cheeger type constants via isocapacitary constants introduced by Maz'ya to estimate first Dirichlet, Neumann and Steklov eigenvalues on a finite subgrap…
A note on Steinerberger's curvature for graphs
David Cushing, Supanat Kamtue, Erin Law +3
In this note, we provide Steinerberger curvature formulas for block graphs, discuss curvature relations between two graphs and the graph obtained by connecting them via a bridge, a…
Entropic curvature not comparable to other curvatures -- or is it?
Supanat Kamtue, Shiping Liu, Florentin Münch +1
In this paper we consider global -curvatures of finite Markov chains with associated means in the spirit of the entropic curvature (based on the logarithmic mean) by Erbar-M…
Bakry-Émery-Ricci curvature: An alternative network geometry measure in the expanding toolbox of graph Ricci curvatures
Madhumita Mondal, Areejit Samal, Florentin Münch +1
The characterization of complex networks with tools originating in geometry, for instance through the statistics of so-called Ricci curvatures, is a well established tool of networ…
Entropy and curvature: beyond the Peres-Tetali conjecture
Pietro Caputo, Florentin Münch, Justin Salez
We study Markov chains with non-negative sectional curvature on finite metric spaces. Neither reversibility, nor the restriction to a particular combinatorial distance are imposed.…
Intertwining Curvature Bounds for Graphs and Quantum Markov Semigroups
Florentin Münch, Melchior Wirth, Haonan Zhang
Based on earlier work by Carlen-Maas and the second- and third-named author, we introduce the notion of intertwining curvature lower bounds for graphs and quantum Markov semigroups…