# Dr. Ricardo Saenz- Coloquium

### Event Description:

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*Title: **How does a fractal vibrate?*

#### Speaker: Ricardo A. Sáenz (Universidad de Colima, Mexico)

Abstract: The work of Jun Kigami defines a Laplacian on certain self-similar sets, called post-critically finite, as a limit of normalized differences. This allows us to calculate explicitly approximations to its eigenfunctions, and, in some cases, it is even possible to construct them by a recursive interpolation process called the decimation method. In this talk I discuss the Laplacian on post-critically finite sets, its spectrum, and some of its properties, comparing them to the spectrum of the classical Laplacian on Euclidean domains.