Classical information geometry and its application to physics †Koki Tokeshi †Information geometry is a theory for statistical manifolds, on which many kinds of probability distributions are described geometrically. In particular, the so-called exponential family type probability distributions can be treated uniformly in the language of information geometry. The dually flat connection plays a crucial role in the theory as well as the Fisher information metric and Hessian structure of the manifolds. In this talk, I first review the general formulation of the theory. Although the theory has been succeeded to (re-)interpret the already known results in the statistical theory, its application to physics seems to be under construction, that is, many quantities have been calculated with their physical meanings remain uninterpreted, but some of them are referred to in this talk especially on the relation to general relativity or black hole physics. References: |