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Topologically transitive semigroup actions of real linear fractional transformations

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Title: Topologically transitive semigroup actions of real linear fractional transformations
Authors: Javaheri, Mohammad1 Mohammad.Javaheri@trincoll.edu
Source: Journal of Mathematical Analysis & Applications. Aug2010, Vol. 368 Issue 2, p587-603. 17p.
Subjects: Topology, Semigroups (Algebra), Linear differential equations, Fractions, Mathematical analysis, Functional analysis, Group actions (Mathematics)
Abstract: Abstract: Let , where I is a proper closed subinterval of . Our main goal in this paper is to describe all such that the action of the semigroup generated by f and g is topologically transitive on I. We also prove that this action is never weakly topologically mixing. Finally, we describe all pairs of affine functions on whose generated semigroup action is weakly topologically mixing. [Copyright &y& Elsevier]
Copyright of Journal of Mathematical Analysis & Applications is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
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PubType: Academic Journal
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  Data: Topologically transitive semigroup actions of real linear fractional transformations
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  Data: Abstract: Let , where I is a proper closed subinterval of . Our main goal in this paper is to describe all such that the action of the semigroup generated by f and g is topologically transitive on I. We also prove that this action is never weakly topologically mixing. Finally, we describe all pairs of affine functions on whose generated semigroup action is weakly topologically mixing. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Journal of Mathematical Analysis & Applications is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.jmaa.2010.03.028
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      – SubjectFull: Linear differential equations
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      – SubjectFull: Fractions
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      – SubjectFull: Mathematical analysis
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      – SubjectFull: Functional analysis
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      – SubjectFull: Group actions (Mathematics)
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      – TitleFull: Topologically transitive semigroup actions of real linear fractional transformations
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              Text: Aug2010
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