Dr. Ricardo Saenz- Coloquium

Event Type: 
Colloquium
Speaker: 
Dr. Ricardo Saenz
Event Date: 
Tuesday, April 18, 2017 -
3:30pm to 4:30pm
Location: 
SMLC 356
Audience: 
General Public
Sponsor/s: 
Cristina Pereyra

Event Description: 

 

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.

Event Contact

Contact Name: Cristina Pereyra

Contact Email: crisp@math.unm.edu