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Martingale Central Limit Theorem and Nonuniformly Hyperbolic Systems
hyperbolic systems nonuniformly
2014/12/8
In this thesis we study the central limit theorem (CLT) for nonuniformly hy- perbolic dynamical systems. We examine cases in which polynomial decay of cor- relations leads to a CLT with a non-standard...
Statistical properties of nonuniformly expanding 1d maps with logarithmic singularities
Statistical properties of nonuniformly 1d maps logarithmic singularities
2010/12/13
For a certain parametrized family of maps on the circle, with critical points and
logarithmic singularities where derivatives blow up to infinity, a positive measure set of parameters was constructed...