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chaosbook:diffusion [2010-02-02 07:55] 127.0.0.1 external edit |
chaosbook:diffusion [2010-07-21 05:02] (current) predrag diffusions confusion reference |
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| See my book for a long list of references on all aspects mentioned above. | See my book for a long list of references on all aspects mentioned above. | ||
| --- //[[r.klages@qmul.ac.uk|Rainer Klages]] 2009-02-11// | --- //[[r.klages@qmul.ac.uk|Rainer Klages]] 2009-02-11// | ||
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| + | **Predrag 2010-07-21** I find [[http://arxiv.org/abs/1007.3393|Linear and fractal diffusion coefficients in a family of one dimensional chaotic maps]] use of Takagi functions by Knight and Klages quite interesting. //Inter alia//, they say: "The structure of the Markov partitions varies wildly under parameter variation. The method we employ to understand the Markov partitions involves iterating the critical point. The set of iterates of this point form a set of Markov partition points for the map. Hence we call the orbit of the critical point a ‘generating orbit’. If the generating orbit is finite for a particular value of parameters, we obtain a finite Markov partition. We can then use the finite Markov partition to tell | ||
| + | us about the diffusive properties of the map and hence the structure of the diffusion coefficient." | ||
| ~~DISCUSSION~~ | ~~DISCUSSION~~ | ||