SEMINARIO DI
SISTEMI
DINAMICI
ore
14.00
Scuola Normale
Superiore
Pisa
(Centro di Ricerca
Matematica E. De Giorgi-Collegio Puteano)
Corinna
Ulcigrai
Bristol
University
Terrà
un seminario dal titolo:
“On
mixing properties of area-preserving flows on surfaces”
Abstract:
We
consider a natural class of area-preserving flows on a surface of genus g. We
are interested in their ergodic properties, especially mixing: it turns out that
the presence/absence of mixing depends on the type of fixed points. We proved
that the presence of centers in a generic such flow is enough to create mixing.
Recently we showed that if the flow has only saddles, it is generically not
mixing (but weakly mixing). The results uses the flows representation as
suspensions over interval exchange transformations and the study of deviations of Birkhoff
averages over interval exchanges.
Tutti gli interessati
sono invitati a partecipare.
La Segreteria della
Classe
di Scienze