3 papers
math.CA2009
Orthogonal Polynomials with Respect to Self-Similar Measures
Steven M. Heilman, Philip Owrutsky, Robert S. Strichartz
We study experimentally systems of orthogonal polynomials with respect to self-similar measures. When the support of the measure is a Cantor set, we observe some interesting proper…
math.SP2008
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…
math.CA2007
Gradients of Laplacian Eigenfunctions on the Sierpinski Gasket
Jessica L. DeGrado, Luke G. Rogers, Robert S. Strichartz
We use spectral decimation to provide formulae for computing the harmonic gradients of Laplacian eigenfunctions on the Sierpinski Gasket. These formulae are given in terms of speci…