Quasisymmetric uniformization and heat kernel estimates
نویسنده
چکیده
We show that the circle packing embedding in R2 of a one-ended, planar triangulation with polynomial growth is quasisymmetric if and only if the simple random walk on the graph satisfies sub-Gaussian heat kernel estimate with spectral dimension two. Our main results provide a new family of graphs and fractals that satisfy sub-Gaussian estimates and Harnack inequalities.
منابع مشابه
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تاریخ انتشار 2018