198 citations · 1.1k across the 43 of their papers we have counts for
Showing 2011Show all
2 papers · 1 filter
math.OA2011★ 33 cited
Spectral triples for the Sierpinski Gasket
F. Cipriani, D. Guido, T. Isola +1
We construct a family of spectral triples for the Sierpinski Gasket . For suitable values of the parameters, we determine the dimensional spectrum and recover the Hausdorff meas…
math.FA2011★ 21 cited
Integrals and Potentials of Differential 1-forms on the Sierpinski Gasket
Fabio Cipriani, Daniele Guido, Tommaso Isola +1
We provide a definition of integral, along paths in the Sierpinski gasket K, for differential smooth 1-forms associated to the standard Dirichlet form K. We show how this tool can…