AVVISO DI
SEMINARIO
Sistemi
Dinamici
ore
14.00
Centro
di Ricerca Matematica Ennio De Giorgi
(Sala
Conferenze Collegio Puteano)
Rie
NATSUI
Terrà un seminario dal
titolo:
“On
the isomorphism problem for a 1-parameter family of $\alpha$-Farey
maps”
We
consider the isomorphism problem for a $1$-parameter family of interval maps,
called $\alpha$-Farey maps for $\frac{1}{2} \le \alpha \le 1$, as a class of
non-invertible infinite measure preserving
transformations.
These
maps are associated with the mediant convergents induced from the
$\alpha$-continued fractions.
The
main result is that $\alpha$-Farey maps are not isomorphic to each other for
$\frac{1}{2} \le \alpha \le 1$, on the other hand, their natural extensions are
isomorphic.
To
prove this result, we construct their natural extensions as two dimensional
maps.
Tutti
gli interessati sono invitati a partecipare.