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Dimension theory and multifractal analysis via thermodynamic formalism
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Kagiso, Dintle Nelson (2015) Dimension theory and multifractal analysis via thermodynamic formalism. PhD thesis, University of Warwick.
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WRAP_THESIS_Kagiso_2015.pdf - Submitted Version - Requires a PDF viewer. Download (848Kb) | Preview |
Official URL: http://webcat.warwick.ac.uk/record=b2863148~S1
Abstract
The thesis deals with dimension theory and ergodic theory. We are interested in applying thermodynamic formalism to give explicit values. Mainly we study dimension of sets with different ergodic averages. An extension to the case of level sets for Gibbs measures of hyperbolic dynamical system are investigated. This leads to very accurate numerical averages.
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Dimension theory (Topology), Ergodic theory, Multifractals | ||||
Official Date: | June 2015 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | Mathematics Institute | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Pollicott, Mark | ||||
Extent: | vi, 84 leaves | ||||
Language: | eng |
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