[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
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