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- W2950360117 abstract "We show that if $f colon S^1 times S^1 to S^1 times S^1$ is $C^2$, with $f(x, t) = (f_t(x), t)$, and the rotation number of $f_t$ is equal to $t$ for all $t in S^1$, then $f$ is topologically conjugate to the linear Dehn twist of the torus $(1&1 0&1)$. We prove a differentiability result where the assumption that the rotation number of $f_t$ is $t$ is weakened to say that the rotation number is strictly monotone in $t$." @default.
- W2950360117 created "2019-06-27" @default.
- W2950360117 creator A5087123026 @default.
- W2950360117 date "2011-09-14" @default.
- W2950360117 modified "2023-09-27" @default.
- W2950360117 title "One-parameter families of circle diffeomorphisms with strictly monotone rotation number" @default.
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- W2950360117 hasPublicationYear "2011" @default.
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