2 citations · 3 across the 6 of their papers we have counts for
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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…
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…
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…
Orbit complexity, initial data sensitivity and weakly chaotic dynamical systems
Stefano Galatolo
We give a definition of generalized indicators of sensitivity to initial conditions and orbit complexity (a measure of the information that is necessary to describe the orbit of a…