[CvGmt News] SEMINARIO DI SISTEMI DINAMICI (olomorfi e dintorni)

Dynamical Systems Trimester dynsys at math.sns.it
Thu May 8 09:01:19 CEST 2003


SEMINARIO DI SISTEMI DINAMICI (olomorfi e dintorni)
Aula Seminari del Centro di Ricerca Matematica Ennio De Giorgi
Piazza dei Cavalieri, Collegio Puteano

Martedi' 13 maggio ore 14.30 
Prof. Jean-Christophe YOCCOZ
(College de France, Paris)

ON THE COHOMOLOGICAL EQUATION FOR INTERVAL EXCHANGE MAPS

We exhibit an explicit  full measure class of minimal interval 
exchange maps for which the cohomological equation 
has a bounded solution provided that the datum belongs to a 
finite codimension subspace of the space of functions with derivative 
of bounded variation on each interval.

The class of interval exchange maps is characterized in terms of a 
diophantine condition of Roth type imposed to an acceleration of
the Rauzy-Veech-Zorich continued fraction expansion associated to the 
map.

M. Abate e S. Marmi








More information about the News mailing list