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Experimental Mathematics Seminar

Experimental mathematical evidence for a conjecture about relative entropy with complex measures 

Michael Kiessling, Rutgers University 

Location:  Hill 705
Date & time: Thursday, 20 September 2018 at 5:00PM - 5:48PM

Abstract:    Relative entropy of a probability measure, relative to a given a priori measure, is a well-defined and extremely useful notion in probability, statistics, and statistical mechanics. A question by Alice Chang has prompted me to introduce the notion of an `entropy of signed and complex measures relative to a signed a priori measure.' In this talk I will explain Alice Chang's question, and why entropy of signed and complex measures relative to a signed measure may hold the answer. I show computer-generated experimental evidence for my proposal. 

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