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UBC Theses and Dissertations
Structure and randomness in dynamical systems : different forms of equicontinuity and sensitivity García-Ramos, Felipe
Abstract
We study topological and measure theoretic forms of mean equicontinuity and mean sensitivity for dynamical systems. With this we characterize well known notions like systems with discrete spectrum, almost periodic functions, and subshifts with regular extensions. We also study the limit behaviour of µ-equicontinuous cellular automata. In this thesis we prove a conjecture from [55] (see Corollary 2.3.18); this was indepently solved by Li-Tu-Ye in [45]. In Chapter 3 we answer questions from [8].
Item Metadata
| Title |
Structure and randomness in dynamical systems : different forms of equicontinuity and sensitivity
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
2015
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| Description |
We study topological and measure theoretic forms of mean equicontinuity and mean sensitivity
for dynamical systems. With this we characterize well known notions like systems with discrete
spectrum, almost periodic functions, and subshifts with regular extensions. We also study the limit
behaviour of µ-equicontinuous cellular automata. In this thesis we prove a conjecture from [55] (see Corollary 2.3.18); this was indepently solved by Li-Tu-Ye in [45]. In Chapter 3 we answer questions from [8].
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| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2015-04-23
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivs 2.5 Canada
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| DOI |
10.14288/1.0167203
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Graduation Date |
2015-05
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| Campus | |
| Scholarly Level |
Graduate
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivs 2.5 Canada