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Seminar Details

Experimental Mathematical Evidence for a Conjecture About Relative Entropy with Complex Measures

  • Start Date: September 20, 2018
  • Event Start Time: 5:00 PM
  • Event End Time: 6:00 PM
  • Seminar Series: Experimental Math Seminar
  • Presenter(s): Michael Kiessling - Rutgers University
  • Event Location: Conference Room 705 | Rutgers University | Hill Center | 110 Frelinghuysen Rd
  • Presentation Type: Stand Alone Presentation
  • 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.