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A Lecture About the Use of Orlicz Spaces in Information Geometry

A Lecture About the Use of Orlicz Spaces in Information Geometry

This chapter is a revised version of a tutorial lecture that I presented at the École de Physique des Houches on July 26–31 2020. Topics include: Non-parametric Information Geometry, the Statistical bundle, exponential Orlicz spaces, and Gaussian Orlicz-Sobolev spaces.