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UID:7739@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20161004T110000
DTEND;TZID=Europe/Paris:20161004T120000
DTSTAMP:20241120T204817Z
URL:https://www.i2m.univ-amu.fr/evenements/parabolic-dynamics-and-anisotro
 pic-banach-spaces/
SUMMARY:Paolo Giulietti (Universidade Federal do Rio Grande do Sul\, Porto 
 Alegre): Parabolic dynamics and anisotropic Banach spaces
DESCRIPTION:Paolo Giulietti: We investigate the relation between the distri
 butions appearing in the study of ergodic averages of parabolic flows (e.g
 . in the work of Flaminio-Forni) and the ones appearing in the study of th
 e statistical properties of hyperbolic dynamical systems (i.e. the eigendi
 stributions of the transfer operator). In order to avoid\, as much as poss
 ible\, technical issues that would cloud the basic idea\, we limit ourselv
 es to a simple flow on the torus. Our main result is that\, roughly\, the 
 growth of ergodic averages of a parabolic flows is controlled by the eigen
 values of a suitable transfer operator associated to the renormalising dyn
 amics. The conceptual connection that we illustrate is expected to hold in
  considerable generality.\nJoint work with C. Liverani.\n-\nhttps://arxiv.
 org/abs/1412.7181\n-\nhttp://www.ufrgs.br/mat/organizacao/departamentos/de
 partamento-de-matematica-pura-e-aplicada-dmpa/corpo-docente-dmpa\n-
CATEGORIES:Séminaire,Ernest
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