Periodic points on the regular and double n-gon surfaces

2020/11/05 by Paul Apisa, Apisa, Paul, Rafael M. Saavedra +3
Mathematics · #Advanced Differential Equations and Dynamical Systems #Analytic Number Theory Research #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2011.02668

openalex publication_date 2020/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the transfer principle, we classify the periodic points on the regular n-gon and double n-gon translation surfaces and deduce consequences for the finite blocking problem on rational triangles that unfold to these surfaces.

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