Probability Seminar: Mathav Murugan

  • Date: 11/14/2018
  • Time: 04:00
Mathav Murugan, UBC

University of British Columbia


Heat kernel bounds and resistance estimates


Sub-Gaussian heat kernel estimates are typical of fractal graphs. We show that sub-Gaussian estimates on graphs follow from a Poincaré inequality, capacity upper bound, and a slow volume growth condition. An important feature of this work is that we do not assume elliptic Harnack inequality, cutoff Sobolev inequality, or exit time bounds.

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Location: ESB 2012