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Dr. Kasso Okoudjou

Department of Mathematics

University of Maryland

 

Wednesday January 23, 4 pm

Thirkield Hall (Physics), room 103

 

Quantum Mechanics on Fractals

 

Since the introduction by Kigami of a Laplacian on a class of fractals that include the Sierpinski Gasket, analysis on fractals has been fast developing. For instance, the spectrum of the fractal-Laplacian was described by Fukushima and Shima using the spectral decimation method that can be traced back to the work of Rammal and Toulouse.

In this talk, I shall present recent results on the asymptotic behavior of the spectra of certain Schrodinger equations on the Sierpinski gasket. Additionally, and if time permits, I shall formulate some uncertainty principles for functions defined on fractals.

Refreshments will be served at 3:40pm