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Mostafa
Mostafa
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Is it possible to approximate an area-preserving diffeomorphism $T$ of the disk $\mathbb{D}^2$ by a sequence of conjugates of periodic rotations $B_n^{-1} S_{\frac{p_n}{q_n}} B_n$, where $ S_{\frac{p_n}{q_n}} $ is the disk rotation of angle $2\pi \frac{p_n}{q_n}$ and $B_n$ is an area-preserving diffeomorphism of the disk?

Is it possible to approximate an area-preserving diffeomorphism $T$ of the disk $\mathbb{D}^2$ by a sequence of periodic $B_n^{-1} S_{\frac{p_n}{q_n}} B_n$, where $ S_{\frac{p_n}{q_n}} $ is the disk rotation of angle $2\pi \frac{p_n}{q_n}$ and $B_n$ is an area-preserving diffeomorphism of the disk?

Is it possible to approximate an area-preserving diffeomorphism $T$ of the disk $\mathbb{D}^2$ by a sequence of conjugates of periodic rotations $B_n^{-1} S_{\frac{p_n}{q_n}} B_n$, where $ S_{\frac{p_n}{q_n}} $ is the disk rotation of angle $2\pi \frac{p_n}{q_n}$ and $B_n$ is an area-preserving diffeomorphism of the disk?

Source Link
Mostafa
Mostafa
  • 403
  • 3
  • 10

Is it possible to approximate an area-preserving diffeomorphism by a sequence of conjugates of periodic rotations?

Is it possible to approximate an area-preserving diffeomorphism $T$ of the disk $\mathbb{D}^2$ by a sequence of periodic $B_n^{-1} S_{\frac{p_n}{q_n}} B_n$, where $ S_{\frac{p_n}{q_n}} $ is the disk rotation of angle $2\pi \frac{p_n}{q_n}$ and $B_n$ is an area-preserving diffeomorphism of the disk?