1 citations · 1 across the 2 of their papers we have counts for
2 papers
math.DS2007★ 1 cited
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…