Fractal Differential Equations Defined by Iterated Function Systems with Overlaps
We study spectral asymptotics of a class of Laplacians deﬁned by iterated function systems with overlaps. We also study the computation of the eigen-functions and eigenvalues of the Laplacians. We also study the wave equation. Part of this work is joint with J. Chan, J. Chen, J. Hu, and K.-S. Lau.
Optimal Configurations on the Sphere and Other Manifolds, Vanderbilt University
Ngai, Sze-Man, John Chan, Jie Chen, Jiaxin Hu, Ka-Sing Lau.
"Fractal Differential Equations Defined by Iterated Function Systems with Overlaps."
Mathematical Sciences Faculty Presentations.