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Building on stochastic geometric mechanics on Riemannian manifolds, we shall focus on extensions of the classical Maupertuis’s variational principle to a class of diffusion processes as extremals of a stochastic action functional preserving the expectation of energy. We shall also mention a recent and related stochastic Jacobi integration theorem, whose consequence will be analyzed elsewhere.

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Stochastic Maupertuis’s Principles and Jacobi’s Integration Theorem

  • 会议论文

  • 发表日期：

    2026年

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  • Qiao Huang,
  • Jean-Claude Zambrini

摘要

Building on stochastic geometric mechanics on Riemannian manifolds, we shall focus on extensions of the classical Maupertuis’s variational principle to a class of diffusion processes as extremals of a stochastic action functional preserving the expectation of energy. We shall also mention a recent and related stochastic Jacobi integration theorem, whose consequence will be analyzed elsewhere.