Negative curvature and spectrum of graph Laplacians

  • Matthias Keller (Universität Jena)
A3 02 (Seminar room)


We present spectral estimates for non-positive Gaussian curvature on tessellating planar graphs. Moreover, we can characterize discreteness of spectrum by uniformly unbounded curvature. These estimates work via an isoperimetric inequality and can be extended to general planar graphs of negative curvature.

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail