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Stochastic stability of Lozi mappings.
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- Stochastic stability of Lozi mappings.
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- 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.
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|dc.title||Stochastic stability of Lozi mappings.||en_US|
|dc.creator||Fahlberg-Stojanovska, Linda Dianne.||en_US|
|dc.contributor.author||Fahlberg-Stojanovska, Linda Dianne.||en_US|
|dc.publisher||The University of Arizona.||en_US|
|dc.description.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.||en_US|
|dc.subject||Global analysis (Mathematics)||en_US|
|thesis.degree.grantor||University of Arizona||en_US|
|dc.contributor.committeemember||Wojtkowski, Maciej P.||en_US|
|dc.contributor.committeemember||Palmer, John N.||en_US|
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