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.