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Self-interacting polynomials
F. Vivaldi
We introduce a class of dynamical systems of algebraic origin, consisting of self-interacting irreducible polynomials over a field. A polynomial f is made to act on a polynomial g…
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…