2 citations · 3 across the 6 of their papers we have counts for
7 papers
Hitting time and dimension in Axiom A systems and generic interval excanges
Stefano Galatolo
In this note we prove that for equilibrium states of axiom A systems the time needed for a typical point to enter for the first time in a typical ball with radiu…
Multifractals via recurrence times ?
J. -R. Chazottes, S. Galatolo
This letter is a comment on an article by T.C. Halsey and M.H. Jensen in Nature about using recurrence times as a reliable tool to estimate multifractal dimensions of strange attra…
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…
Dimension via Waiting time and Recurrence
S. Galatolo
Quantitative recurrence indicators are defined by measuring the first entrance time of the orbit of a point in a decreasing sequence of neighborhoods of another point . It i…
Dynamical systems and computable information
V. Benci, C. Bonanno, S. Galatolo +2
We present some new results which relate information to chaotic dynamics. In our approach the quantity of information is measured by the Algorithmic Information Content (Kolmogorov…
Global and local Complexity in weakly chaotic dynamical systems
Stefano Galatolo
In a topological dynamical system the complexity of an orbit is a measure of the amount of information (algorithmic information content) that is necessary to describe the orbit. Th…