Fractal Laplacians Defined by Iterated Function Systems with Overlaps

Presenters/Authors

Sze-Man Ngai, Georgia Southern UniversityFollow
John Chan, Georgia Southern UniversityFollow
Jie Chen, University of WashingtonFollow
Jiaxin HuFollow
Ka-Sing Lau, The Chinese University of Hong KongFollow

Document Type

Presentation

Presentation Date

4-10-2010

Abstract or Description

We study spectral asymptotics of a class of Laplacians defined by iterated function systems with overlaps. We also study the computation of the eigenfunctions and eigenvalues of the Laplacians. Part of this work is joint with J. Chan, J. Chen, J. Hu, and K.-S. Lau.

Sponsorship/Conference/Institution

Spring Central Sectional Meeting of the American Mathematical Society (AMS)

Location

St. Paul, MN

Recommended Citation

Ngai, Sze-Man, John Chan, Jie Chen, Jiaxin Hu, Ka-Sing Lau. 2010. "Fractal Laplacians Defined by Iterated Function Systems with Overlaps." Department of Mathematical Sciences Faculty Presentations. Presentation 345.
https://digitalcommons.georgiasouthern.edu/math-sci-facpres/345