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The Hausdorff dimension of measures for iterated function systems which contract on average
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Jordan, T. (Thomas) and Pollicott, Mark (2008) The Hausdorff dimension of measures for iterated function systems which contract on average. Discrete and Continuous Dynamical Systems, Vol.22 (No.1-2). pp. 235-246. doi:10.3934/dcds.2008.22.235 ISSN 1078-0947.
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Official URL: http://dx.doi.org/10.3934/dcds.2008.22.235
Abstract
In this note we consider measures supported on limit sets of systems that contract on average. In particular, we present an upper bound on their Hausdorff dimension.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Hausdorff measures, Iterative methods (Mathematics) | ||||
Journal or Publication Title: | Discrete and Continuous Dynamical Systems | ||||
Publisher: | American Institute of Mathematical Sciences | ||||
ISSN: | 1078-0947 | ||||
Official Date: | September 2008 | ||||
Dates: |
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Volume: | Vol.22 | ||||
Number: | No.1-2 | ||||
Number of Pages: | 12 | ||||
Page Range: | pp. 235-246 | ||||
DOI: | 10.3934/dcds.2008.22.235 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Version or Related Resource: | Presented at: Conference on Nonuniformly Hyperbolic Dynamics and Smooth Ergodic Theory, Inst Superior Tech, Lisbon, Portugal, Jun 25-29, 2007 | ||||
Type of Event: | Conference |
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