Information geometry in vapour-liquid equilibrium

@article{Brody2008InformationGI,
  title={Information geometry in vapour-liquid equilibrium},
  author={Dorje C. Brody and Daniel W. Hook},
  journal={arXiv: Statistical Mechanics},
  year={2008}
}
Using the square-root map p-->\sqrt{p} a probability density function p can be represented as a point of the unit sphere S in the Hilbert space of square-integrable functions. If the density function depends smoothly on a set of parameters, the image of the map forms a Riemannian submanifold M in S. The metric on M induced by the ambient spherical geometry of S is the Fisher information matrix. Statistical properties of the system modelled by a parametric density function p can then be… Expand

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