46 citations · 191 across the 47 of their papers we have counts for
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Analysis on the Projective Octagasket
Yiran Mao, Robert S. Strichartz, Levente Szabo +1
The existence of a self similar Laplacian on the Projective Octagasket, a non-finitely ramified fractal is only conjectured. We present experimental results using a cell approximat…
Spectral Decimation for Families of Self-Similar Symmetric Laplacians on the Sierpinski Gasket
Sizhen Fang, Dylan A. King, Eun Bi Lee +1
We construct a one-parameter family of Laplacians on the Sierpinski Gasket that are symmetric and self-similar for the 9-map iterated function system obtained by iterating the stan…
Spectral Asymptotics Revisited
Robert S. Strichartz
We introduce two new heuristic ideas concerning the spectrum of a Laplacian, and we give theorems and conjectures from the realms of manifolds, graphs and fractals that validate th…
Szego limit theorems on the Sierpinski gasket
Kasso A. Okoudjou, Luke G. Rogers, Robert S. Strichartz
We use the existence of localized eigenfunctions of the Laplacian on the Sierpinski gasket to formulate and prove analogues of the strong Szego limit theorem in this fractal settin…