8 citations · 12 across the 8 of their papers we have counts for
10 papers
Surfaces with nonpositive magnetic curvature
Boris Hasselblatt, JinCheng Wang
For a negatively curved surface, magnetic (or twisted geodesic) flows with nonpositive ''magnetic curvature'' have a large-scale geometry on the universal cover that retains some f…
Horns in Billiards
David de Frutos Ostrander, Boris Hasselblatt, Mark Levi
We show that, like cusps, horns in billiards expel every trajectory after finitely many collisions. We further produce an adiabatic invariant.
Ergodicity of asymmetric lemon Billiards
Wentao Fan, Boris Hasselblatt
We show ergodicity of (asymmetric) lemon billiards, billiard tables that are the intersection of two circles of which one contains the centers of both. These do not satisfy the Woj…
Accessibility and centralizers for partially hyperbolic flows
Todd Fisher, Boris Hasselblatt
Stable accessibility for partially hyperbolic diffeomorphisms is central to their ergodic theory, and we establish its \(C^1\)-density among 1. all, 2. volume-preserving, 3. symple…
Orbit Growth Of Contact Structures After Surgery
Patrick Foulon, Boris Hasselblatt, Anne Vaugon
Investigation of the effects of a contact surgery construction and of invariance of contact homology reveals a rich new field of inquiry at the intersection of dynamical systems an…
Centralizers of hyperbolic and kinematic-expansive flows
Lennard Bakker, Todd Fisher, Boris Hasselblatt
We show generic hyperbolic flows (Axiom A and no cycles, but not transitive Anosov) commute with no -diffeomorphism other than a time-t map of the flow itself.…