A higher moment formula for the Siegel-Veech transform over quotients by Hecke triangle groups

DOI10.4171/GGD/591zbMath1472.11204arXiv1901.10115OpenAlexW3114831466MaRDI QIDQ2035107

Samantha Fairchild

Publication date: 24 June 2021

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.10115

zbMATH Keywords

Hecke triangle groupSiegel-Veech transform

Mathematics Subject Classification ID

Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Mean value and transfer theorems (11H60)

Related Items (1)

Siegel-Veech transforms are in \(L^2\)

Cites Work

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• Arithmetic and geometry of the Hecke groups
• Teichmüller curves, triangle groups, and Lyapunov exponents
• Counting modular matrices with specified Euclidean norm
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• Siegel measures
• The geometry and arithmetic of translation surfaces with applications to polygonal billiards
• Logarithm laws for flows on homogeneous spaces
• Siegel-Veech transforms are in \(L^2\)
• Logarithm laws for unipotent flows. I.
• A mean value theorem in geometry of numbers
• Mean values over the space of lattices
• A Poincaré Section for the Horocycle Flow on the Space of Lattices
• A Metrical Theorem In Geometry of Numbers
• Grid Graphs and Lattice Surfaces

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