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A Stochastic Look at Geodesics on the Sphere

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Geometric Science of Information (GSI 2017)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 10589))

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Abstract

We describe a method allowing to deform stochastically the completely integrable (deterministic) system of geodesics on the sphere \(S^2\) in a way preserving all its symmetries.

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Author information

Authors and Affiliations

  1. Inst. de Mathématiques de Bordeaux, Univ. de Bordeaux, Bordeaux, France

    Marc Arnaudon & Jean-Claude Zambrini

  2. Grupo de Física-Matemática Univ. Lisbon, Lisbon, Portugal

    Marc Arnaudon & Jean-Claude Zambrini

Authors
  1. Marc Arnaudon
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  2. Jean-Claude Zambrini
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Corresponding author

Correspondence to Marc Arnaudon .

Editor information

Editors and Affiliations

  1. Ecole Polytechnique, Palaiseau, France

    Frank Nielsen

  2. Thales Land and Air Systems, Limours, France

    Frédéric Barbaresco

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Arnaudon, M., Zambrini, JC. (2017). A Stochastic Look at Geodesics on the Sphere. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2017. Lecture Notes in Computer Science(), vol 10589. Springer, Cham. https://doi.org/10.1007/978-3-319-68445-1_55

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  • DOI: https://doi.org/10.1007/978-3-319-68445-1_55

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-68444-4

  • Online ISBN: 978-3-319-68445-1

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