The conference will focus on the
global qualitative study
(topological and ergodic) of differentiable dynamical systems,
especially
diffeomorphisms and vector fields, that are not uniformly hyperbolic.
Among the main
topics to be covered are:
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- robust, locally generic, and abundant phenomena,
- weak forms of hyperbolicity: dominated splitting,
partial hyperbolicity, non-uniform hyperbolicity, singular
hyperbolicity,
- homoclinic bifurcations,
- existence, finitude and continuity of SRB measures,
- Lyapunov exponents,
- decay of correlations, central limit theorems,
- rigidity of partially hyperbolic group actions.
The conference will focus on a
few mini-courses and plenary lectures,
so that a large part of the time will be devoted to informal
discussions. A number of lecture rooms will be available to the
participants for more specialized sessions.
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