Davi Obata
Published 2019-03-14Version 1
In this paper we study the diffeomorphism centralizer of a vector field: given a vector field it is the set of diffeomorphisms that commutes with the flow. Our main theorem states that for a $C^1$-generic diffeomorphism having at most finitely many sinks or sources, the diffeomorphism centralizer is quasi-trivial. In certain cases, we can promote the quasi-triviality to triviality. We also obtain a criterion for a diffeomorphism in the centralizer to be a reparametrization of the flow.
On the Shadowableness of Flows With Hyperbolic Singularities
Denseness of robust exponential mixing for singular-hyperbolic attracting sets
Two-parameter unfolding of a parabolic point of a vector field in $\mathbb C$ fixing the origin
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