4 papers
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…
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…
Hamilton-Jacobi in metric spaces with a homological term
Ugo Bessi
The Hamilton-Jacobi equation on metric spaces has been studied by several authors; following the approach of Gangbo and Swiech, we show that the final value problem for the Hamilto…
An entropy generation formula on spaces
Ugo Bessi
J. Feng and T. Nguyen have shown that the solutions of the Fokker-Planck equation in satisfy an entropy generation formula. We prove that, in compact metric measure spaces w…