Scaling dynamics of a cubic interval exchange transformation

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dc.creatorLowenstein, J. H.
dc.creatorVivaldi, F.
dc.date2007-03-19
dc.date.accessioned2026-07-07T07:52:38Z
dc.date.available2026-07-07T07:52:38Z
dc.descriptionWe study the dynamics of renormalisation of an interval exchange transformation which features exact scaling (the cubic Arnoux-Yoccoz model). Using a symbolic space that describes both dynamics and scaling, we characterize the periodic points of the scaling map in terms of generalised decimal expansions, where the base is the reciprocal of a Pisot number and the digits are algebraic integers. We establish rigorously some basic facts, and use extensive numerical experimentation to formulate a conjecture.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0703556
dc.identifierhttp://arxiv.org/abs/math/0703556
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125952
dc.subjectDynamical Systems
dc.subjectNumber Theory
dc.subject37E05; 11Z05; 37E20
dc.titleScaling dynamics of a cubic interval exchange transformation
dc.typetext

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