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Using a recent result of Mañé [Ma] we give a classification of polynomials whose Fatou components are John domains.
A sphericalCR-structure on a smooth (2n−1)-manifoldM is a maximal collection of distinguished charts modeled on the boundary ∂H
of the complex hyperbolic space, where coordinate changes are restrictions of transformations from PU(n, 1). There exists a development map
$$d:\tilde M \to...
We prove that small perturbations of a real analytic integrable Hamiltonian system ind degrees of freedom generically have biasymptotic orbits which are obtained as intersections of the stable and unstable manifolds of invariant hyperbolic tori of dimensiond−1. Hence, these solutions will be...
In this paper we consider the question of minimizing functionals defined by improper integrals. Our approach is alternative to the method of concentration-compactness and it does not require the verification of strict subaddivity.
We study singularities of foliations given by R. Moussu closely related to a conjecture of R. Thom. We give their analytic classification and prove their topological rigidity.
In this paper we consider attracting heteroclinic cycles. We recall that these cycles usually have no S.B.R. measure. This is related with the fact that certain time averages do not converge. We obtain a topological interpretation of the asymptotic properties of these non-converging time...
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