most citedGeometric representation of interval exchange maps over algebraic number fields

11 citations · 11 across the 2 of their papers we have counts for

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2 papers

math.DS2007★ 11 cited

Geometric representation of interval exchange maps over algebraic number fields

G. Poggiaspalla, J. H. Lowenstein, F. Vivaldi

We consider the restriction of interval exchange transformations to algebraic number fields, which leads to maps on lattices. We characterize renormalizability arithmetically, and…

math.DS2007

Scaling dynamics of a cubic interval exchange transformation

J. H. Lowenstein, F. Vivaldi

We 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…