2017/11/22 by Jayadev S. Athreya, Athreya, Jayadev S., Yitwah Cheung +3
Computer Science · Mathematics · #32G15 #52C23 #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.1711.08537
openalex publication_date 2017/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let H denote a connected component of a stratum of translation surfaces. We show that the Siegel-Veech transform of a bounded compactly supported function on ℝ2 is in L2(H, μ), where μ is Lebesgue measure on H, and give applications to bounding error terms for counting problems for saddle connections. We also propose a new invariant associated to SL(2, ℝ)-invariant measures on strata satisfying certain integrability conditions.