605 citations
- Istituto Nazionale di Fisica Nucleare, Sezione di PisaIT115 papers
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18 papers · 1 filter
A Non-Autonomous Version Of The Denjoy-Wolff Theorem
Tiziano Casavecchia, Santiago Diaz-Madrigal
The aim of this work is to establish the celebrated Denjoy-Wolff Theorem in the context of generalized Loewner chains. In contrast with the classical situation where essentially co…
Hitting time in regular sets and logarithm law for rapidly mixing dynamical systems
Stefano Galatolo
We prove that if a system has superpolynomial (faster than any power law) decay of correlations (with respect to Lipschitz observables) then the time needed for a typi…
Torus actions in the normalization problem
Jasmin Raissy
Let be a germ of biholomorphism of $\C^n$, fixing the origin. We show that if the germ commutes with a torus action, then we get information on the germs that can be conjugated…
Dynamics and abstract computability: computing invariant measures
Stefano Galatolo, Mathieu Hoyrup, Cristobal Rojas
We consider the question of computing invariant measures from an abstract point of view. We work in a general framework (computable metric spaces, computable measures and functions…
Discrete holomorphic local dynamical systems
Marco Abate
This is a survey on local dynamics of holomorphic maps in one and several complex variables, discussing in particular normal forms and the structure of local stable sets in the non…
Platonic Polyhedra, Topological Constraints and Periodic Solutions of the Classical -Body Problem
G. Fusco, G. F. Gronchi, P. Negrini
We prove the existence of a number of smooth periodic motions of the classical Newtonian -body problem which, up to a relabeling of the particles, are invariant under…