ACMD Seminar: Analysis on fractals: An introduction

Dr. Kasso Okoudjou, Professor and Associate Chair
Department of Mathematics, University of Maryland

Tuesday, April 11,  2017, 15:30 - 16:30
Building 222, Room B263
Gaithersburg

Tuesday, April 11, 2017, 13:30 - 14:30
Room 1-4058
Boulder

Slides

Abstract: In the first part of this talk I will give an overview of analysis on a class of fractals that includes the Sierpinski gasket. The starting point of the theory is the introduction by J. Kigami of a Laplacian operator on these fractals. After reviewing the construction of this fractal Laplacian, I will survey some of the properties of its spectrum. In the second part of the talk, I will discuss the fractal analogs of the theory of orthogonal polynomials, the Heisenberg uncertainty principle, and the spectrum of Schrödinger operators.

Speaker Bio: Kasso Okoudjou completed his Ph.D. in Mathematics, and M.S. in Electrical Engineering at Georgia Tech in 2003 working under the supervision of Chris Heil. From 2003 to 2006 he was  H.C. Wang Assistant Professor of Mathematics at Cornell University. In 2006 he moved to the University of Maryland College Park, where he is now Professor and Associate Chair for Undergraduate Studies. From 2010 to 2012 he was a Senior Humboldt Researcher visiting the University of Osnabrück, and the Technical University of Berlin. His research interests include applied and pure harmonic analysis especially time-frequency and time-scale analysis, frame theory, and analysis and differential equations on fractals.

Note: Visitors from outside NIST must contact Cathy Graham; (301) 975-3800; at least 24 hours in advance.

Part of the ACMD Seminar Series.