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I humbly think that the Kicked rotator should be a separate topic because it is not a map but a continuous-time model. Only if there is no noise and no disipation it can be reduced to a discrete time map. Otherwise it is essential to keep the time as continuous!

Averaged diffusion of momentum-squared

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The section Kicked rotator#Main properties (classical) should specify over which variables and which probability distributions the average is taken.

In particular, the statement "the first term is a sum of terms all equalling " in the article holds if the initial conditions modulo , i. e. points , are uniformly distributed over the square (because the standard map is area-preserving and thus remains uniformly distributed for any ) but doesn't hold in case of some other distributions, e. g. if we fix and the average is taken uniformly over . Since we are not regarding as periodic, as the introduction says, it is not obvious that we should take uniformly distributed modulo . Jaan Vajakas (talk) 15:23, 21 August 2012 (UTC)[reply]

It also seems that the conclusion that in the chaotic domain, the momentum diffusion is between

is not rigorous: we considered two limit cases (no correlation and maximal correlation), but why we can conclude that these give us the minimal and maximal bounds? Either a hint of the proof should be given or if there is no proof available then it should be mentioned that this is just an intuitive conclusion, not a rigorously proven formula. Jaan Vajakas (talk) 16:22, 21 August 2012 (UTC)[reply]

Хуй

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У меня большая проблема с этим вопросом 2A00:1FA0:C4C5:421F:55F5:1B57:10FC:915A (talk) 13:36, 30 November 2021 (UTC)[reply]