Two algorithms for closed horocycles on the modular surface

Autor:	Mark Sheingorn, Marvin I. Knopp
Rok vydání:	2014
Předmět:	Surface (mathematics) Transitive relation Mathematics::Dynamical Systems Algebra and Number Theory business.industry 010102 general mathematics Mathematics::Spectral Theory Modular design Topology Tracking (particle physics) 01 natural sciences Constructive Mathematics::Group Theory symbols.namesake Number theory Flow (mathematics) Fourier analysis symbols Mathematics::Metric Geometry Mathematics::Differential Geometry 0101 mathematics business Mathematics
Zdroj:	The Ramanujan Journal. 41:31-50
ISSN:	1572-9303 1382-4090
DOI:	10.1007/s11139-014-9607-2
Popis:	We track the trajectories of individual directed horocycles on the modular surface. Our tracking is constructive, and we thus effectively establish topological transitivity and even line-transitivity for the horocyclic flow.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::bfe9130c42f29689804ee3228217c8d5 https://doi.org/10.1007/s11139-014-9607-2 Zobrazit plný text záznamu Full text from SpringerLink