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Month: July 2012

Pseudo-differential Operators on Fractals

Posted on July 28, 2012April 20, 2020 by Rogers, Luke

by Marius Ionescu, Luke G. Rogers and Robert S. Strichartz

We define and study pseudo-differential operators on a class of fractals that include the post-critically finite self-similar sets and Sierpinski carpets. Continue reading →

Derivations and Dirichlet forms on fractals

Posted on July 16, 2012April 20, 2020 by Rogers, Luke

by Marius Ionescu, Luke G. Rogers and Alexander Teplyaev

We study derivations and Fredholm modules on metric spaces with a local regular conservative Dirichlet form. Continue reading →