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20062026
most citedDerivations and Dirichlet forms on fractals

45 citations · 146 across the 29 of their papers we have counts for

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Showing 2011Show all

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math.FA2011

Pseudo-differential Operators on Fractals

Marius Ionescu, Luke G. Rogers, 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. Using the sub-Gaussian es…

math.OA2011★ 45 cited

Derivations and Dirichlet forms on fractals

Marius Ionescu, Luke G. Rogers, Alexander Teplyaev

We study derivations and Fredholm modules on metric spaces with a local regular conservative Dirichlet form. In particular, on finitely ramified fractals, we show that there is a n…