On functional equations associated with the renormalization of non-commuting circle mappings

Autor:	Y T Christodoulides, B. D. Mestel
Rok vydání:	2007
Předmět:	Statistics and Probability Class (set theory) Pure mathematics Mathematical analysis General Physics and Astronomy Statistical and Nonlinear Physics Function (mathematics) Homeomorphism Renormalization Modeling and Simulation Fraction (mathematics) Mathematical Physics Rotation number Mathematics
Zdroj:	Journal of Physics A: Mathematical and Theoretical. 40:11877-11897
ISSN:	1751-8121 1751-8113
Popis:	We investigate the functional equations associated with critical non-commuting circle homeomorphisms. Using Epstein's Herglotz function methods, we show that there are analytic solutions of a class of functional equations closely related to period-two points of the circle-map renormalization transformations for rotation number with continued fraction .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ee015b7f3f1ddef63741792e307a9650 https://doi.org/10.1088/1751-8113/40/39/012 Zobrazit plný text záznamu