Lower bounds on directional complexity for irrational triangle billiards

2011/11/29 by Dmitri Scheglov, Scheglov, Dmitri · 1 citation
Mathematics · #Analytic Number Theory Research #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Stochastic processes and statistical mechanics #math.DS

paper · pdf · doi:10.48550/arxiv.1111.6726

arxiv created 2011/11/29 · openalex publication_date 2011/11/29 · arxiv updated 2011/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide explicit lower estimates on the complexity growth in typical directions for a class of irrational triangle billiards

Citations

• Splitting time for irrational triangle billiards

Cited by

• Growth of periodic orbits and generalized diagonals for typical triangle billiards

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• Complexity lower bound for typical right triangular billiards
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