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  • [hal-01492325] The thirteenth Peregrine breather and its deformations depending on twenty four parameters solutions to the NLS equation.

    24 mars, par Pierre Gaillard, Mickaël Gastineau
    We go on with the study of the solutions to the focusing one dimensional nonlinear Schrödinger equation (NLS). We construct here the thirteen's Peregrine breather (P13 breather) with its twenty four real parameters, creating deformation solutions to the NLS equation. New families of (...)
  • [hal-01452778] On measures in sub-Riemannian geometry

    8 mars, par R Ghezzi, Frédéric Jean
    In \citegjha we give a detailed analysis of spherical Hausdorff measures on sub-Riemannian manifolds in a general framework, that is, without the assumption of equiregularity. The present paper is devised as a complement of this analysis, with both new results and open questions. The first aim (...)
  • [hal-01452778] On measures in sub-Riemannian geometry

    16 février, par R Ghezzi, Frédéric Jean
    In \citegjha we give a detailed analysis of spherical Hausdorff measures on sub-Riemannian manifolds in a general framework, that is, without the assumption of equiregularity. The present paper is devised as a complement of this analysis, with both new results and open questions. The first aim (...)
  • [hal-01467965] Maximal Solutions of Sparse Analysis Regularization

    16 février, par Abdessamad Barbara, Abderrahim Jourani, Samuel Vaiter
    This paper deals with the non-uniqueness of the solutions of an analysis-Lasso regularization. Most of previous works in this area is concerned with the case where the solution set is a singleton, or to derive guarantees to enforce uniqueness. Our main contribution consists in providing a (...)
  • [hal-01467144] Topological classification of Morse-Smale diffeomorphisms without heteroclinic curves on 3-manifolds

    16 février, par Ch Bonatti, V Grines, F Laudenbach, O Pochinka
    We show that, up to topological conjugation, the equivalence class of a Morse-Smale diffeomorphism without heteroclinic curves on 3-manifold is completely defined by an em- bedding of two-dimensional stable and unstable heteroclinic laminations to a characteristic (...)

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