36 citations · 100 across the 13 of their papers we have counts for
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3 papers · 1 filter
math.DS2022★ 1 cited
Oriented Birkhoff sections of Anosov flows
Masayuki Asaoka, Christian Bonatti, Théo Marty
This paper gives 3 different proofs (independently obtained by the 3 authors) of the following fact: given an Anosov flow on an oriented 3 manifold, the existence of a positive Bir…
math.DS2022★ 1 cited
Aperiodic chain recurrence classes of -generic diffeomorphisms
Christian Bonatti, Katsutoshi Shinohara
We consider the space of -diffeomorphims equipped with the -topology on a three dimensional closed manifold. It is known that there are open sets in which -generic d…
math.DS2022★ 1 cited
A mechanism for ejecting a horseshoe from a partially hyperbolic chain recurrence class
Christian Bonatti, Katsutoshi Shinohara
We give a -perturbation technique for ejecting an a priori given finite set of periodic points preserving a given finite set of homo/hetero-clinic intersections from a chain r…