9 citations · 10 across the 2 of their papers we have counts for
2 papers
math-ph2013★ 1 cited
The Decimation Method for Laplacians on Fractals: Spectra and Complex Dynamics
Nishu Lal, Michel L. Lapidus
In this survey article, we investigate the spectral properties of fractal differential operators on self-similar fractals. In particular, we discuss the decimation method, which in…
math-ph2012★ 9 cited
Hyperfunctions and Spectral Zeta Functions of Laplacians on Self-Similar Fractals
Nishu Lal, Michel L. Lapidus
We investigate the spectral zeta function of fractal differential operators such as the Laplacian on the unbounded (i.e., infinite) Sierpinski gasket and a self-similar Sturm-Liouv…