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Local complexity functions of interval exchange transformations

✍ Scribed by V. Afraimovich; R. Rechtman

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
506 KB
Volume
14
Category
Article
ISSN
1007-5704

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✦ Synopsis

We studied numerically complexity functions for interval exchange transformations. We have shown that they grow linearly in time as well as the -complexity function. Moreover, we found out that they depend also linearly on where is the Lebesgue measure of a set of initial points. This allows us to hypothesize that the dimension of the measure related to the -complexity function could be determined by studying the dependence of local complexity functions on .

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