On the set of points of zero torsion for negative-torsion maps of the annulus

Anna Florio (1, 2)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
2 Université Paris Dauphine-PSL

For negative-torsion maps on the annulus we show that on every C^1 essential curve there is at least one point of zero torsion. As an outcome we deduce that the Hausdorff dimension of the set of points of zero torsion is greater or equal 1. As a byproduct we obtain a Birkhoff's Theorem-Like result for C^1 essential curves in the framework of negative-torsion maps.

Domaines: Systèmes dynamiques [math.DS]

Anna Florio. On the set of points of zero torsion for negative-torsion maps of the annulus. Journal of modern dynamics, In press. ⟨hal-03847058⟩