A Microlocal Analysis of the Lévy Generator with Conjugate Points

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dc.contributor.advisorUhlmann, Gunther
dc.contributor.authorTully, Kevin
dc.date.accessioned2026-08-11T19:32:52Z
dc.date.issued2026-08-11
dc.date.submitted2026
dc.descriptionThesis (Ph.D.)--University of Washington, 2026
dc.description.abstractWe analyze the microlocal structure of the infinitesimal generator of a Lévy process on a compact, connected Riemannian manifold when conjugate points are allowed. We show that if there are no singular conjugate pairs, then the infinitesimal generator equals two pseudodifferential operators plus an infinite sum of Fourier integral operators. This extends known results for the flat torus, the round sphere, and Anosov manifolds.
dc.embargo.termsOpen Access
dc.format.mimetypeapplication/pdf
dc.identifier.otherTully_washington_0250E_29531.pdf
dc.identifier.urihttps://hdl.handle.net/1773/57456
dc.language.isoen_US
dc.rightsCC BY
dc.subjectConjugate points
dc.subjectFourier integral operators
dc.subjectLévy process
dc.subjectMicrolocal analysis
dc.subjectMathematics
dc.subject.otherMathematics
dc.titleA Microlocal Analysis of the Lévy Generator with Conjugate Points
dc.typeThesis

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