Seminario di Analisi Matematica
Posted by fidest press agency su martedì, 4 aprile 2017
Roma Mercoledì 5 Aprile 2017, ore 16:00 Dipartimento di Matematica e Fisica, Aula 211 Largo San Leonardo Murialdo 1 KAM normal form for quasi-periodic cocycles in TxSU(2) and spectral dichotomy. Nikolaos Karaliolios (Imperial College-London) Abstract. We will recall the application of the KAM machinery as it was applied by H. Eliasson and R. Krikorian (among others) to the problem of the (almost) reducibility of such systems. We will subsequently present an (almost) complete classification of the KAM regime, based on the KAM normal form, and, if time permits, sketch the proof of spectral dichotomy: a cocycle in the KAM regime has either pure point spectrum or a maximal component of singular continuous spectrum in the fibers.