Some properties of mixing repellers
- 7 May 1988
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 21 (9) , 2023-2043
- https://doi.org/10.1088/0305-4470/21/9/018
Abstract
Applying the thermodynamic formalism to mixing repellers for regular maps, the author obtains some rigorous relations between the dimensions of the repellers and the dynamic properties of the transformation on them. For a class of one-dimensional expanding maps, these quantities can be approximated to any desired accuracy by means of the corresponding variables for linear expanding maps, which can be computed exactly. Finally, a mathematical foundation and some properties of the generalised dimensions are given.Keywords
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