Showing math.MGShow all
2 papers · 1 filter
math.MG2020
Another point of view on Kusuoka's measure
Ugo Bessi
Kusuoka's measure on fractals is a Gibbs measure of a very special kind, because its potential is discontinuous, while the standard theory of Gibbs measures requires continuous (ac…
math.MG2020
Cheeger's energy on the Harmonic Sierpinski Gasket
Ugo Bessi
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…