Philippe Thieullen

Green Bundles and Nonuniform Hyperbolicity for twist symplectic mappings


For twist symplectic mappings, the Green bundles play the role of the Oseledet's splitting. They always exist uniformly but may not correspond to the usual unstable and stable splitting (if they exist). For minimizing measures, The hyperbolicity of the mapping appears when the angle of the two bundles is positive. The lectures will be an introduction to the subject of twist mappings based on the papers of G. Contreras and R. Itturriaga (ETDS, 1999), M. Bialy and R. MacKay (IJM, 2004) and several preprints of M.C. Arnaud.

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