Cheeger's energy on the Harmonic Sierpinski Gasket

25 May 2020  ·  Bessi Ugo ·

Koskela and Zhou have proven that, on the harmonic Sierpinski gasket with Kusuoka's measure, the "natural" Dirichlet form coincides with Cheeger's energy. We give a different proof of this result, which uses the properties of the Lyapounov exponent of the gasket.

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Metric Geometry