| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 760061 | Communications in Nonlinear Science and Numerical Simulation | 2009 | 7 Pages |
Abstract
We studied numerically complexity functions for interval exchange transformations. We have shown that they grow linearly in time as well as the ϵ-complexity function. Moreover, we found out that they depend also linearly on ϵ where ϵ is the Lebesgue measure of a set of initial points. This allows us to hypothesize that the dimension of the measure related to the ϵ-complexity function could be determined by studying the dependence of local complexity functions on ϵ.
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Authors
V. Afraimovich, R. Rechtman,