Smooth stabilizers for measures on the torus
Aaron Brown
Abstract
Aaron Brown
Abstract
For a dissipative Anosov diffeomorphism $f$ of the 2-torus, we give examples of $f$-invariant measures $\mu$ such that the group of $\mu$-preserving diffeomorphisms is virtually cyclic.
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For a dissipative Anosov diffeomorphism $f$ of the 2-torus, we give examples of $f$-invariant measures $\mu$ such that the group of $\mu$-preserving diffeomorphisms is virtually cyclic.
Key concepts: Torus, Diffeomorphism, Invariant (physics), Dissipative system, Pure mathematics, Mathematics, Physics, Mathematical physics