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Computing multifractal spectra
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Kagiso, Dintle Nelson and Pollicott, Mark (2015) Computing multifractal spectra. Dynamical Systems, 30 (4). pp. 404-425. doi:10.1080/14689367.2015.1062977 ISSN 1468-9367.
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Official URL: http://dx.doi.org/10.1080/14689367.2015.1062977
Abstract
The famous Birkhoff ergodic theorem shows that given an ergodic measure the averages of an integrable function along typical orbits converge to the integral of the function. The multifractal spectra describe the sets of points for which the averages converge to another limit. In this note, we will consider the specific setting of conformal repellers and show how to estimate the Hausdorff dimensions of such sets via approximations to their alternative characterizations as zeros of appropriate determinant functions.
Item Type: | Journal Article | ||||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Journal or Publication Title: | Dynamical Systems | ||||||||
Publisher: | Taylor & Francis Ltd. | ||||||||
ISSN: | 1468-9367 | ||||||||
Official Date: | 25 July 2015 | ||||||||
Dates: |
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Volume: | 30 | ||||||||
Number: | 4 | ||||||||
Page Range: | pp. 404-425 | ||||||||
DOI: | 10.1080/14689367.2015.1062977 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access |
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