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.
Bessi, U. (2020). Cheeger's energy on the harmonic Sierpinski gasket. NONLINEAR ANALYSIS, 199, 1-21 [10.1016/j.na.2020.111859].
Cheeger's energy on the harmonic Sierpinski gasket
Ugo Bessi
2020-01-01
Abstract
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.File in questo prodotto:
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