A reduction point algorithm for cocompact Fuchsian groups and applications

Autor:	Pilar Bayer, Dionís Remón
Rok vydání:	2014
Předmět:	Reduction (complexity) Fuchsian group Algebra and Number Theory Wireless transmission Computer Networks and Communications Modular group Applied Mathematics Discrete Mathematics and Combinatorics Point (geometry) Microbiology Algorithm Mathematics
Zdroj:	Advances in Mathematics of Communications. 8:223-239
ISSN:	1930-5338
DOI:	10.3934/amc.2014.8.223
Popis:	In the present article we propose a reduction point algorithm for any Fuchsian group in the absence of parabolic transformations. We extend to this setting classical algorithms for Fuchsian groups with parabolic transformations, such as the flip flop algorithm known for the modular group $\mathbf{SL}(2, \mathbb{Z})$ and whose roots go back to [9]. The research has been partially motivated by the need to design more efficient codes for wireless transmission data and for the study of Maass waveforms under a computational point of view.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b66ec9e6f6ecb3fcd6ec7a7f875bd41e https://doi.org/10.3934/amc.2014.8.223 Zobrazit plný text záznamu