Small C^s perturbations of generic volume-preserving 3D Anosov flow time-1 maps make smooth measures converge exponentially to a unique full-support limit, implying stable transitivity and unique physical measures.
Title resolution pending
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
citation-role summary
background 1
citation-polarity summary
fields
math.DS 3years
2026 3verdicts
UNVERDICTED 3roles
background 1polarities
background 1representative citing papers
Lipschitz regularity of the extremal distribution forces C^∞ regularity for volume-preserving partially hyperbolic diffeomorphisms on closed 3-manifolds.
The Teichmüller space of 3D transitive Anosov flows is realized as a product of two function spaces, implying path-connectedness of orbit-equivalence classes and homotopy equivalence to Diff_0^r(M).
citing papers explorer
-
Perturbation of the time-1 map of a generic volume-preserving $3$-dimensional Anosov flow
Small C^s perturbations of generic volume-preserving 3D Anosov flow time-1 maps make smooth measures converge exponentially to a unique full-support limit, implying stable transitivity and unique physical measures.
-
Extremal distributions of partially hyperbolic systems: the Lipschitz threshold
Lipschitz regularity of the extremal distribution forces C^∞ regularity for volume-preserving partially hyperbolic diffeomorphisms on closed 3-manifolds.
-
The Teichm\"uller Space of a 3-Dimensional Anosov Flow
The Teichmüller space of 3D transitive Anosov flows is realized as a product of two function spaces, implying path-connectedness of orbit-equivalence classes and homotopy equivalence to Diff_0^r(M).