Legendre-type integrands and convex integral functions

Host Institution:

University of Newcastle

Title of Seminar:

Legendre-type integrands and convex integral functions

Speaker's Name:

Liangjin Yao (CARMA, Australia)

Time and Date:

Monday 10 September, 3.00pm (EST)

Seminar Abstract:

In this talk, we study the properties of integral functionals induced on L1E (S,ยต ) by closed convex functions on a Euclidean space E. We give sufficient conditions for such integral functions to be strongly rotund (well-posed). We show that in this generality functions such as the Boltzmann-Shannon entropy and the Fermi-Dirac entropy are strongly rotund. We also study convergence in measure and give various limiting counterexample. This is a joint work with Jon Borwein.

Seminar Convenor:

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How to participate in this seminar

  1. Book your University's Access Grid Room, or a university or APAC etc. Access Grid Room that you are able to use, and
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