arXiv:math/0509645 Abstract

arXiv:math/0509645 [math.DS]Abstract References Reviews Resources

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

Published 2005-09-27Version 1

We 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.

Categories: math.DS, math.CV

Subjects: 37F99, 32M99

Keywords: linear fractional recurrences, birational surface maps, degree growth, periodicities, birational maps

Related articles: Most relevant | Search more

arXiv:math/0611297 [math.DS] (Published 2006-11-09, updated 2009-03-10)

Dynamics of Rational Surface Automorphisms: Linear Fractional Recurrences

Eric Bedford, Kyounghee Kim

arXiv:1005.4520 [math.DS] (Published 2010-05-25, updated 2010-11-04)

Degree complexity of birational maps related to matrix inversion: Symmetric case

Tuyen Trung Truong

arXiv:0801.0076 [math.DS] (Published 2007-12-29)

Degree complexity of a family of birational maps: II. Exceptional cases