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Information Geometry and Integrable Hamiltonian Systems

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Geometric Structures of Statistical Physics, Information Geometry, and Learning (SPIGL 2020)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 361))

Abstract

We consider the integrable Hamiltonian System of the Peakons-Anti Peakons associated with the Camassa-Holm equation. Following previous contributions of Nakamura for the Toda Lattice, we discuss its link with the Geometry of Information.

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Authors and Affiliations

  1. Sorbonne Université, Laboratoire Jacques–Louis Lions, UMR 7598 CNRS, 4 Place Jussieu, 75252, Paris, France

    J.-P. Françoise

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  1. J.-P. Françoise
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Correspondence to J.-P. Françoise .

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Editors and Affiliations

  1. Thales Land & Air Systems, Technical Directorate, Thales, Limours, France

    Frédéric Barbaresco

  2. Sony Computer Science Laboratories Inc., Tokyo, Japan

    Frank Nielsen

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Françoise, JP. (2021). Information Geometry and Integrable Hamiltonian Systems. In: Barbaresco, F., Nielsen, F. (eds) Geometric Structures of Statistical Physics, Information Geometry, and Learning. SPIGL 2020. Springer Proceedings in Mathematics & Statistics, vol 361. Springer, Cham. https://doi.org/10.1007/978-3-030-77957-3_8

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