Mathematical Physics Seminar
Seminar given by Chris Woodward and Michael Kiessling
Date & time: Thursday, 15 September 2016 at 12:00PM - 3:00PM
MATHEMATICAL PHYSICS SEMINAR
Chris Woodward - Rutgers University
Thursday, September 15th, 12:00pm; Hill 705
"Eigenvalues of sums and products of matrices."
Given two Hermitian real nxn matrices, given their eigenvalues what can one say about the eigenvalues of the sum? Similar, given two unitary nxn matrices what can one say about the eigenvalues of the product? I will survey some results on this, joint with Agnihotri and Knutson-Tao, and talk about some more recent results by others on generalizing these results to other kinds of matrices. (Joint with Agnihotri and separately Knutson and Tao)
THERE WILL BE A BROWN BAG LUNCH FROM 1-2PM. PLEASE JOIN US
Michael Kiessling - Rutgers University
Thursday, September 15th, 2:00pm; Hill 705
"Relative Entropy Principles with Complex Measures"
The notion of relative entropy for probabilitiy measures relative to a given a-priori probability measure is generalized to signed and complex measures relative to a given a-priori signed measure. This generalization is motivated by some problems at the intersection of statistical mechanics and differential geometry. Computer algebra-produced evidence for the utility of this new notion is presented using the example of complex random polynomials.