18 citations · 142 across the 46 of their papers we have counts for
3 papers · 2 filters
Mildly dissipative diffeomorphisms of the disk with zero entropy
Sylvain Crovisier, Enrique Pujals, Charles Tresser
We discuss the dynamics of smooth diffeomorphisms of the disc with vanishing topological entropy which satisfy the mild dissipation property introduced in [CP]. In particular it co…
On the notions of singular domination and (multi-)singular hyperbolicity
Sylvain Crovisier, Adriana da Luz, Dawei Yang +1
The properties of uniform hyperbolicity and dominated splitting have been introduced to study the stability of the dynamics of diffeomorphisms. One meets difficulties when one trie…
Robust transitivity of singular hyperbolic attractors
Sylvain Crovisier, Dawei Yang
Singular hyperbolicity is a weakened form of hyperbolicity that has been introduced for vector fields in order to allow non-isolated singularities inside the non-wandering set. A t…