Title:
Limit theorems for a one-dimensional system with random switchings

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dc.contributor.advisor Bakhtin, Yuri
dc.contributor.author Hurth, Tobias en_US
dc.contributor.committeeMember Bunimovich, Leonid
dc.contributor.committeeMember Koltchinskii, Vladimir
dc.contributor.department Mathematics en_US
dc.date.accessioned 2011-03-04T20:22:40Z
dc.date.available 2011-03-04T20:22:40Z
dc.date.issued 2010-11-15 en_US
dc.description.abstract We consider a simple one-dimensional random dynamical system with two driving vector fields and random switchings between them. We show that this system satisfies a one force - one solution principle and compute its unique invariant density explicitly. We study the limiting behavior of the invariant density as the switching rate approaches zero and infinity and derive analogues of classical probabilistic results such as the central limit theorem and large deviations principle. en_US
dc.description.degree M.S. en_US
dc.identifier.uri http://hdl.handle.net/1853/37201
dc.publisher Georgia Institute of Technology en_US
dc.subject One-dimensional random dynamical system en_US
dc.subject Large deviations principle en_US
dc.subject Central limit theorem en_US
dc.subject Invariant density en_US
dc.subject Driving vector fields en_US
dc.subject One force - one solution principle en_US
dc.subject Random switchings en_US
dc.subject.lcsh Limit theorems (Probability theory)
dc.subject.lcsh Random dynamical systems
dc.title Limit theorems for a one-dimensional system with random switchings en_US
dc.type Text
dc.type.genre Thesis
dspace.entity.type Publication
local.contributor.corporatename College of Sciences
local.contributor.corporatename School of Mathematics
relation.isOrgUnitOfPublication 85042be6-2d68-4e07-b384-e1f908fae48a
relation.isOrgUnitOfPublication 84e5d930-8c17-4e24-96cc-63f5ab63da69
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