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On Landau's Eigenvalue Theorem and Information Cut-sets

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What
  • Seminar Series
When Mar 31, 2014
from 01:00 PM to 02:30 PM
Where Engr. IV Bldg., Shannon Room 54-134
Contact Name
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Massimo Franceschetti

University of California, San Diego


Abstract

In this talk, I am going to present a variation of a theorem of Landau concerning the phase transition of the eigenvalues of a time-frequency limiting, self-adjoint operator and describe its application to compute the number of degrees of freedom of square-integrable, multi-dimensional bandlimited functions in terms of Kolmogorov's n-width in some limiting regimes where the original theorem cannot be directly applied. This leads to determining up to order the total amount of information that can be transported in time and space by multiple-scattered electromagnetic waves, extending previous single-frequency treatments to signals of non-zero frequency bandwidth. In closing, I am going to sketch some relations to the holographic principle of quantum gravity and black hole thermodynamics.

Biography 

Massimo Franceschetti is associate professor in the Department of Electrical and Computer Engineering of University of California at San Diego. He received the Laurea degree, magna cum laude, in Computer Engineering from the University of Naples in 1997, and the M.S. and Ph.D. degrees in Electrical Engineering from the California Institute of Technology in 1999, and 2003. Before joining UCSD, he was a post-doctoral scholar at University of California at Berkeley for two years.

Prof. Franceschetti was awarded the C. H. Wilts Prize in 2003 for best doctoral thesis in Electrical Engineering at Caltech; the S. A. Schelkunoff award in 2005 for best paper in the IEEE Transactions on Antennas and Propagation; an NSF CAREER award in 2006, an ONR Young Investigator award in 2007; the IEEE Communications society best tutorial paper award in 2010; and the IEEE Control theory society Ruberti young researcher award in 2012. 

He has held visiting positions at at the Vrije Universiteit Amsterdam in the Netherlands, the Ecole Polytechnique Federale de Lausanne in Switzerland, and the University of Trento in Italy.

He was associate editor for communication networks for 2009-2012 of the IEEE Transactions on Information Theory and has served as guest editor for two issues of the IEEE Journal on Selected Areas in Communication.

His research interests are in communication systems theory and include random networks, wave propagation in random media, wireless communication, and control over networks.

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