46 citations · 191 across the 47 of their papers we have counts for
Showing 2008Show all
2 papers · 1 filter
math.AP2008★ 2 cited
The resolvent kernel for PCF self-similar fractals
Marius Ionescu, Erin P. J. Pearse, Luke G. Rogers +2
For the Laplacian defined on a p.c.f. self-similar fractal, we give an explicit formula for the resolvent kernel of the Laplacian with Dirichlet boundary conditions, and also w…
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…