Periodicities in Linear Fractional Recurrences: Degree growth of birational surface maps

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dc.creatorBedford, Eric
dc.creatorKim, Kyounghee
dc.date2005-09-27
dc.date.accessioned2026-07-07T06:19:22Z
dc.date.available2026-07-07T06:19:22Z
dc.descriptionWe consider the set of all 2-step recurrences (difference equations) that are given by linear fractional maps. These give birational maps of the plane. We determine the degree growth of these birational maps. We find the all the maps in this family that are periodic. This also leads to new surface automorphisms with positive entropy.
dc.identifierhttps://arxiv.org/abs/math/0509645
dc.identifierhttp://arxiv.org/abs/math/0509645
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95048
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.subject37F99; 32M99
dc.titlePeriodicities in Linear Fractional Recurrences: Degree growth of birational surface maps
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