On the growth rate of periodic orbtis for vector fields

Orateur: Wanlou WU
Type: Séminaire des doctorants
Site: UPEC
Salle: P1 005
Date de début: 23/11/2017 - 13:00
Date de fin: 23/11/2017 - 13:00

We establish the relationship between the growth rate of periodic orbits and the topological entropy for $T'$ generic vector fields : the extends a classical result of Katok for $T^{1+\alpha}$ ($\alpha>0$) surface diffeomorphisms to $T'$ generic vector fields of any dimension.