The INI has a new website!

This is a legacy webpage. Please visit the new site to ensure you are seeing up to date information.

Skip to content

AGA

Seminar

Schur complement, Drichlet-to-Neumann map, and eigenfunctions on self-similar graphs

Teplyaev, A (Connecticut)
Tuesday 15 May 2007, 14:30-15:30

Seminar Room 1, Newton Institute

Abstract

We study eigenvalues and eigenfunctions on the class of self-similar symmetric finitely ramified graphs. We consider such examples as the graphs modeled on the Sierpinski gasket, a non-p.c.f. analog of the Sierpinski gasket, the Level-3 Sierpinski gasket, a fractal 3-tree, the Hexagasket, and one dimensional fractal graphs. We develop a matrix analysis, including analysis of singularities, which allows us to compute eigenvalues, eigenfunctions and their multiplicities exactly.

Presentation

[pdf ]

Audio

MP3MP3

Back to top ∧