Perpetual cutoff method and discrete Ricci curvature bounds with exceptions
Florentin Münch
Bulletin of the London Mathematical Society

A note on Steinerberger's curvature for graphs
David Cushing, Supanat Kamtue, Erin Law, Shiping Liu, Florentin Münch, Norbert Peyerimhoff
arXiv preprint arXiv:2404.17860

Entropic curvature not comparable to other curvatures--or is it?
Supanat Kamtue, Shiping Liu, Florentin Münch, Norbert Peyerimhoff
arXiv preprint arXiv:2404.04581

Bakry-Emery-Ricci curvature: An alternative network geometry measure in the expanding toolbox of graph Ricci curvatures
Madhumita Mondal, Areejit Samal, Florentin Münch, Jürgen Jost
arXiv preprint arXiv:2402.06616

Entropy and curvature: beyond the Peres-Tetali conjecture
Justin Salez, Florentin Münch, Pietro Caputo
arXiv preprint arXiv:2401.17148

Intertwining Curvature Bounds for Graphs and Quantum Markov Semigroups
Florentin Münch, Melchior Wirth, Haonan Zhang
arXiv preprint arXiv:2401.05179

Bakry-Emery calculus for entropic curvature, new diameter estimates, and spectral gaps
Supanat Kamtue, Shiping Liu, Florentin Münch, Norbert Peyerimhoff
arXiv preprint arXiv:2312.09686

Bakry-Emery and Ollivier Ricci Curvature of Cayley Graphs 
David Cushing, Supanat Kamtue, Riikka Kangaslampi, Shiping Liu, Florentin Münch, Norbert Peyerimhoff
arXiv preprint arXiv:2310.15953

Neumann semigroup, subgraph convergence, form uniqueness, stochastic completeness and the Feller property
Matthias Keller, Florentin Münch, Radoslaw Wojciechowski
arXiv preprint arXiv:2310.14927

Ollivier curvature, Isoperimetry, concentration, and Log-Sobolev inequality
Florentin Münch
arXiv preprint arXiv:2309.06493

Some variants of discrete positive mass theorems on graphs
Bobo Hua, Florentin Münch, Haohang Zhang
arXiv preprint arXiv:2307.08334

Bakry–Emery Curvature Sharpness and Curvature Flow in Finite Weighted Graphs: Implementation
David Cushing, Supanat Kamtue, Shiping Liu, Florentin Münch, Norbert Peyerimhoff, Ben Snodgrass
Axioms 12 (6),  577

Ricci Curvature on Birth-Death Processes
Bobo Hua, Florentin Münch
Axioms 12 (5), 428

Non-negative Ollivier curvature on graphs, reverse Poincaré inequality, Buser inequality, Liouville property, Harnack inequality and eigenvalue estimates
Florentin Münch
Journal de Mathématiques Pures et Appliquées 170, 231-257

Rigidity properties of the hypercube via Bakry–Émery curvature
Shiping Liu, Florentin Münch, Norbert Peyerimhoff
Mathematische Annalen, 1-35

Graphs with nonnegative curvature outside a finite subset, harmonic functions and number of ends 
Bobo Hua, Florentin Münch
arXiv preprint arXiv:2210.00514

Ollivier curvature, betweenness centrality and average distance
Florentin Münch
arXiv preprint arXiv:2209.15564

Spectral gap of the largest eigenvalue of the normalized graph Laplacian
Jürgen Jost, Raffaella Mulas, Florentin Münch
Communications in Mathematics and Statistics 10 (3), 371-381

Mixing time and expansion of non-negatively curved Markov chains
Florentin Münch, Justin Salez
arXiv preprint arXiv:2206.08294

Reflective Graphs, Ollivier curvature, effective diameter, and rigidity
Florentin Münch
arXiv preprint arXiv:2205.15857

Extremal functions for the second-order Sobolev inequality on groups of polynomial growth
Bobo Hua, Ruowei Li, Florentin Münch
arXiv preprint arXiv:2205.00150

Bakry- Emery curvature sharpness and curvature flow in finite weighted graphs. I. Theory
David Cushing, Supanat Kamtue, Shiping Liu, Florentin Münch, Norbert Peyerimhoff, Ben Snodgrass
arXiv preprint arXiv:2204.10064

Characterizations of Forman curvature
Jürgen Jost, Florentin Münch
arXiv preprint arXiv:2110.04554

A homology vanishing theorem for graphs with positive curvature
Mark Kempton, Florentin Münch, Shing - Tung Yau
Communications in Analysis and Geometry 29 (6), 1449-1473

Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds
Michela Egidi, Shiping Liu, Flroentin Münch, Norbert Peyerimhoff
Communications in Analysis and Geometry 29 (5), 1127-1156

Every Salami has two ends
Bobo Hua, Florentin Münch
arXiv preprint arXiv:2105.11887

Spectrally positive Bakry-Emery Ricci curvature on graphs
Florentin Münch, Christian Rose
Journal de Mathématiques Pures et Appliquées 143, 334-344

Large scale Ricci curvature on graphs
Mark Kempton, Gabor Lippner, Florentin Münch
Calculus of variations and partial differential equations 59 (5), 1-17

Curvature calculations for antitrees
David Cushing, Shiping Liu, Florentin Münch, Norbert Peyerimhoff
Analysis and geometry on graphs and manifolds, London Mathematical Society

Rigidity of the Bonnet-Myers inequality for graphs with respect to Ollivier Ricci curvature
David Cushing, Supanat Kamtue, Jack Koolen, Shiping Liu, Florentin Münch, Norbert Peyerimhoff
Advances in Mathematics 369, 107188

State transfer in strongly regular graphs with an edge perturbation
Chris Godsil, Krystal Guo, Mark Kempton, Gabor Lippner, Florentin Münch
Journal of Combinatorial Theory, Series A 172, 105181

Magnetic-sparseness and Schrödinger operators on graphs
Michel Bonnefont, Sylvain Golénia, Matthias Keller, Shiping Liu, Florentin Münch
Annales Henri Poincaré 21 (5), 1489-1516

Ollivier Ricci curvature for general graph Laplacians: Heat equation, Laplacian comparison, non-explosion and diameter bounds
Florentin Münch, Radoslaw Wojciechowski
Advances in Mathematics 356, 106759

Li-Yau inequality under CD(0,n) on graphs
Florentin Münch
arXiv preprint arXiv:1909.10242

A new discrete Hopf–Rinow theorem
Matthias Keller, Florentin Münch
Discrete Mathematics 342 (9), 2751-2757

Liouville property and non-negative Ollivier curvature on graphs
Jürgen Jost, Florentin Münch, Christian Rose
arXiv preprint arXiv:1903.10796

Distance bounds for graphs with some negative Bakry-Emery curvature
Shiping Liu, Florentin Münch, Norbert Peyerimhoff, Christian Rose
Analysis and Geometry in Metric Spaces 7 (1), 1-14

Curvature and higher order Buser inequalities for the graph connection Laplacian
Shiping Liu, Florentin Münch, Norbert Peyerimhoff
SIAM Journal on Discrete Mathematics 33 (1), 257-305

Coverings and the heat equation on graphs: stochastic incompleteness, the Feller property, and uniform transience
Bobo Hua, Florentin Münch, Radoslaw Wojciechowski
Transactions of the American Mathematical Society 372 (7), 5123-5151

Li–Yau inequality on finite graphs via non-linear curvature dimension conditions
Florentin Münch
Journal de Mathématiques Pures et Appliquées 120, 130-164

Gradient estimates, Bakry-Emery Ricci curvature and ellipticity for unbounded graph Laplacians
Matthias Keller, Florentin Münch
arXiv preprint arXiv:1807.10181

Bakry–Émery curvature and diameter bounds on graphs
Shiping Liu, Florentin Münch, Norbert Peyerimhoff
Calculus of Variations and Partial Differential Equations 57 (2), 1-9

Ollivier - Ricci Idleness Functions of Graphs
David Bourne, David Cushing, Shiping Liu, Florentin Münch, Norbert Peyerimhoff
SIAM Journal on Discrete Mathematics 32 (2), 1408-1424

Remarks on curvature dimension conditions on graphs
Florentin Münch
Calculus of Variations and Partial Differential Equations 56 (1), 1-8

Note on short-time behavior of semigroups associated to self-adjoint operators
Matthias Keller, Daniel Lenz, Florentin Münch, Marcel Schmidt, Andras Telcs
Bulletin of the London Mathematical Society 48 (6), 935-944

Geometry and spectrum of rapidly branching graphs
Matthias Keller, Florentin Münch, Felix Pogorzelski
Mathematische Nachrichten 289 (13), 1636-16476