Uniform distribution of saddle connection lengths (with an appendix by Daniel El-Baz and Bingrong Huang)

DOI10.3934/jmd.2019023zbMath1469.37025OpenAlexW2991291510MaRDI QIDQ2026745

Donald Robertson, Jon Chaika

Publication date: 20 May 2021

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jmd.2019023

zbMATH Keywords

uniform distributiontranslation surface

Mathematics Subject Classification ID

Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Sequences (mod (m)) (11B50) Distribution modulo one (11J71) General groups of measure-preserving transformations and dynamical systems (37A15) Flows on surfaces (37E35) Homogeneous flows (37A17) Relations between ergodic theory and number theory (37A44)

Related Items (1)

Uniform distribution of saddle connection lengths in all \(\mathrm{SL}(2,\mathbb{R})\) orbits

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Isolation, equidistribution, and orbit closures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space
• Counting closed geodesics in moduli space
• Gauss measures for transformations on the space of interval exchange maps
• Interval exchange transformations and measured foliations
• Siegel measures
• Convergence of Siegel-Veech constants
• The distribution of gaps for saddle connection directions
• Siegel-Veech transforms are in \(L^2\)
• Equidistribution of saddle connections on translation surfaces
• Effective counting on translation surfaces
• Asymptotic formulas on flat surfaces
• The gap distribution of slopes on the golden L
• The growth rate of trajectories of a quadratic differential
• The Distribution of Gaps for Saddle Connections on the Octagon
• Primitive lattice points in convex planar domains

This page was built for publication: Uniform distribution of saddle connection lengths (with an appendix by Daniel El-Baz and Bingrong Huang)