4 citations · 7 across the 7 of their papers we have counts for
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math.PR2018
A note on heat kernel estimates, resistance bounds and Poincaré inequality
Mathav Murugan
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…
math.PR2018
Quasisymmetric uniformization and heat kernel estimates
Mathav Murugan
We show that the circle packing embedding in of a one-ended, planar triangulation with polynomial growth is quasisymmetric if and only if the simple random walk on t…