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4 papers · 1 filter
Orderings of the rationals and dynamical systems
Claudio Bonanno, Stefano Isola
This paper is devoted to a systematic study of a class of binary trees encoding the structure of rational numbers both from arithmetic and dynamical point of view. The paper is div…
A renormalization approach to irrational rotations
Claudio Bonanno, Stefano Isola
We introduce a renormalization procedure which allows us to study in a unified and concise way different properties of the irrational rotations on the unit circle $β\mapsto \set{α+…
Algorithmic information for intermittent systems with an indifferent fixed point
Claudio Bonanno, Stefano Galatolo
Measuring the average information that is necessary to describe the behaviour of a dynamical system leads to a generalization of the Kolmogorov-Sinai entropy. This is particularly…
Holonomy control operators in classical and quantum completely integrable Hamiltonian systems
G. Giachetta, L. Mangiarotti, G. Sardanashvily
Completely integrable Hamiltonian systems look promising for controllability since their first integrals are stable under an internal evolution, and one may hope to find a perturba…