Persistent Link:
http://hdl.handle.net/10150/184748
Title:
Stochastic stability of Lozi mappings.
Author:
Fahlberg-Stojanovska, Linda Dianne.
Issue Date:
1989
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
We study the Lozi mapping f(x,y) = (1+by-a|x|,x) acting on a compact trapping region in R² and prove that its Sinai-Bowen-Ruelle measure is stable under small random perturbations. This extends the results of Kifer and Young [Y2] for Axiom A attractors to a piecewise hyperbolic setting.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Global analysis (Mathematics)
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Mathematics; Graduate College
Degree Grantor:
University of Arizona
Advisor:
Young, LaiSang

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleStochastic stability of Lozi mappings.en_US
dc.creatorFahlberg-Stojanovska, Linda Dianne.en_US
dc.contributor.authorFahlberg-Stojanovska, Linda Dianne.en_US
dc.date.issued1989en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractWe study the Lozi mapping f(x,y) = (1+by-a|x|,x) acting on a compact trapping region in R² and prove that its Sinai-Bowen-Ruelle measure is stable under small random perturbations. This extends the results of Kifer and Young [Y2] for Axiom A attractors to a piecewise hyperbolic setting.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectGlobal analysis (Mathematics)en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorYoung, LaiSangen_US
dc.contributor.committeememberWojtkowski, Maciej P.en_US
dc.contributor.committeememberPalmer, John N.en_US
dc.identifier.proquest9000127en_US
dc.identifier.oclc702676846en_US
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