Texas A&M University, Department of
Mathematics, 216 Milner Hall, 22nd of March 2006, 3:00-3:50
Groups and Dynamics Seminar
Spectrum of symmetric point-connected
self-similar graphs and fractals
Alexander Teplyaev of University of Connecticut
I will discuss how to compute spectrum of the Laplacian on a class of
point-connected highly symmetric self-similar graphs.
Examples of such graphs include the one dimensional integer lattice,
and the lattice corresponding to the Sierpinski gasket.
I also will discuss localization of eigenfunctions, and continuous
limits of such Laplacians.