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arXiv · 2311.00951

A Microlocal Analysis of the L\'evy Generator with Conjugate Points

Kevin Tully
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Abstract

We analyze the microlocal structure of the infinitesimal generator of a L\'evy process on a closed Riemannian manifold when conjugate points are allowed. We show that if there are no singular conjugate pairs, then the infinitesimal generator can be written as a sum of pseudodifferential operators and Fourier integral operators. This extends and unifies known results for the flat torus, the sphere, and Anosov manifolds.

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Kevin Tully. 2023-11-02. A Microlocal Analysis of the L\'evy Generator with Conjugate Points. https://arxiv.org/abs/2311.00951

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