Supanat Kamtue

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Research activity

Currently, I am studying about two different approaches to define curvatures on discrete spaces via optimal transport. First is Ollivier's coarse Ricci curvature defined via the transportation of two small balls, and the other is by Erbar and Maas who modified Lott, Sturm, and Villani's definition of curvature via the displacement convexity of the entropy.

I am a member in the department's Optimal transport study group

Publications

  1. D. Cushing, S. Kamtue, R. Kangaslampi, S. Liu and N. Peyerimhoff, Curvatures, graph products and Ricci flatness, J. Graph Theory (2020), 1-32. link
  2. D. Cushing, S. Kamtue, J. Koolen, S. Liu, F. Münch and N. Peyerimhoff, Rigidity for the Bonnet-Myers for graphs with respect to Ollivier Ricci curvature, Adv. Math. 369 (2020), 107188. link
  3. D. Cushing, S. Kamtue, N. Peyerimhoff and L. Watson May, Quartic graphs which are Bakry-Émery curvature sharp, Discrete Math. 343(3) (2020), 111767. link
  4. D. Cushing and S. Kamtue, Long-scale Ollivier Ricci curvature of graphs, Anal. Geom. Metr. Spaces 7(1) (2019), 22-44. link
  5. Preprints

  6. S. Kamtue, Bonnet-Myers sharp graphs of diameter three (2020), arXiv:2005.06704.
  7. S. Kamtue, A note on a Bonnet-Myers type diameter bound for graphs with positive entropic Ricci curvature (2020), arXiv:2003.01160.
  8. S. Kamtue, Combinatorial, Bakry-Émery, Ollivier's Ricci curvature notions and their motivation from Riemannian geometry (2018), arXiv:1803.08898.