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 Mar 25 revised Function going from $0$ to $1$ with minimal concavity corrected definition of $f$ in example. Mar 25 suggested approved edit on Function going from $0$ to $1$ with minimal concavity Jul 2 awarded Curious Jun 24 awarded Nice Question Mar 17 accepted Does every continuous time minimal Markov chain have the Feller property? Feb 9 awarded Yearling Oct 24 accepted Mean value of the image of an exponentiallly distributed time under a smooth curve Oct 24 asked Generator of a transport semigroup on the torus Oct 22 comment Mean value of the image of an exponentiallly distributed time under a smooth curve @Eupraxis1981 no, I don't think I want to assume this. But I forgot to write that the derivative $\dot\varphi$ is bounded (it is even periodic). Oct 22 asked Mean value of the image of an exponentiallly distributed time under a smooth curve Oct 21 accepted Speed of covering the circle with a random interval Oct 21 comment Speed of covering the circle with a random interval Got it, thanks. Oct 21 asked Speed of covering the circle with a random interval Oct 21 accepted An ergodic theorem on the circle Oct 15 comment An ergodic theorem on the circle @A Blumenthal. Do you also have some hint on how to show that $\pi$ is the unique invariant measure? Oct 15 comment An ergodic theorem on the circle @A Blumenthal. It seems to me that () remains true as it is for measurable bounded functions. (While in the case of F vanishing at exactly one point $\bar x$ the measure $\pi$ becomes the delta measure in $\bar x$ and () holds for continuous functions but not in general for measurable functions). Oct 14 comment An ergodic theorem on the circle Thank you @A Blumenthal. Where in your argument do you use that f is continuous (and not merely bounded measurable)? Oct 11 asked Canonical projection of tangent space onto the circle Oct 11 answered German Books in Qualitative ODE? Oct 11 revised An ergodic theorem on the circle added tag