On Coxeter recurrences
Cimà, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Mañosas Capellades, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2012
Abstract:	An interesting family of recurrences of order n ≥ 2 which are globally (n+3)-periodic was introduced by Coxeter in 1971. We prove a surprising property of this family: "all" the possible geometrical behaviors that linear real (n+ 3)-periodic recurrences can have are present inside the Coxeter recurrences.
Grants:	Ministerio de Ciencia y Tecnología MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Globally periodic difference equations ; Recurrences ; Coxeter difference equations ; Linearization
Published in:	Journal of Difference Equations and Applications, Vol. 18 Núm. 9 (2012) , p. 1457-1465, ISSN 1563-5120

DOI: 10.1080/10236198.2011.564576

Postprint 9 p, 293.8 KB

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