45 citations · 146 across the 29 of their papers we have counts for
3 papers · 1 filter
Magnetic Laplacians of locally exact forms on the Sierpinski Gasket
Jessica Hyde, Daniel J. Kelleher, Jesse Moeller +2
We give a mathematically rigorous construction of a magnetic Schrödinger operator corresponding to a field with flux through finitely many holes of the Sierpinski Gasket. The opera…
Some spectral properties of pseudo-differential operators on the Sierpinski Gasket
Marius Ionescu, Kasso A. Okoudjou, Luke G. Rogers
We prove versions of the strong Szëgo limit theorem for certain classes of pseudodifferential operators defined on the Sierpiński gasket. Our results used in a fundamental way the…
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…