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math.PR2019
On singularity of energy measures for symmetric diffusions with full off-diagonal heat kernel estimates
Naotaka Kajino, Mathav Murugan
We show that for a strongly local, regular symmetric Dirichlet form over a complete, locally compact geodesic metric space, full off-diagonal heat kernel estimates with walk dimens…
math.PR2019
On the length of chains in a metric space
Mathav Murugan
We obtain an upper bound on the minimal number of points in an -chain joining two points in a metric space. This generalizes a bound due to Hambly and Kumagai (1999) for the cas…