Fractafolds based on the Sierpinski gasket and their spectra

By Robert S. Strichartz. 2003

83 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Condensed Matter Physics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/648a635006c6d9424d4971786b88a3680122b6b2

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. De-Jun Feng
2. Fabrice Baudoin
3. Alexander Teplyaev
4. Yang Wang
5. Nageswari Shanmugalingam
6. Anders Bjorn
7. Wen Huang

In Condensed Matter Physics

1. Yang Wang
2. De-Jun Feng
3. Alexander Teplyaev
4. Huyi Hu

In Mathematical Physics

1. De-Jun Feng
2. Yang Wang
3. Patricia Alonso-Ruiz
4. Luke G. Rogers
5. Fabrice Baudoin
6. Li Chen
7. Alexander Teplyaev
8. Nageswari Shanmugalingam

Citations in the corpus

• On the structures of generating iterated function systems of Cantor sets (2009, methodology): “as the Sierpinski Gasket, see e.g. [4] and [ 18 ].”
• Besov class via heat semigroup on Dirichlet spaces II: BV functions and Gaussian heat kernel estimates (2018, background): “y more complicated than that of Cantor sets. Beyond direct products of fractional spaces [27,46,69,70], which in a sense are still at, one could try to construct \fractional manifolds, or fractafolds [68,71], with non-negative curvature" which would be metric spaces with heat kernels satisfying”