Martingale central limit theorem and nonuniformly hyperbolic systems
In this thesis we study the central limit theorem (CLT) for nonuniformly hyperbolic dynamical systems. We examine cases in which polynomial decay of correlations leads to a CLT with a non-standard scaling factor. We also formulate an explicit expression for the the diffusion constant σ in situations...
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| Language: | ENG |
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ScholarWorks@UMass Amherst
2013
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| Online Access: | https://scholarworks.umass.edu/dissertations/AAI3603125 |