Statistics of the Minimal Denominator Function and Short Holonomy Vectors of Translation Surfaces

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dc.contributor.advisorAthreya, Jayadev S
dc.contributor.authorArtiles Calix, Albert Alejandro
dc.date.accessioned2024-10-16T03:16:03Z
dc.date.available2024-10-16T03:16:03Z
dc.date.issued2024-10-16
dc.date.submitted2024
dc.descriptionThesis (Ph.D.)--University of Washington, 2024
dc.description.abstractThe main results of this dissertation are the computation of the limiting distribution of the minimal denominator function, the computation of Chen-Haynes distributions for a broad class of equivariant processes, and the computation of the probability density distribution of short holonomy vectors of Veech surfaces.
dc.embargo.termsOpen Access
dc.format.mimetypeapplication/pdf
dc.identifier.otherArtilesCalix_washington_0250E_27281.pdf
dc.identifier.urihttps://hdl.handle.net/1773/52565
dc.language.isoen_US
dc.rightsCC BY
dc.subjectDiophantine Approximation
dc.subjectErgodic Theory
dc.subjectFlows
dc.subjectHomogeneous Dynamics
dc.subjectMinimal Denominator Function
dc.subjectTranslation Surface
dc.subjectMathematics
dc.subject.otherMathematics
dc.titleStatistics of the Minimal Denominator Function and Short Holonomy Vectors of Translation Surfaces
dc.typeThesis

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