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Quenched decay of correlations for random contracting Lorenz maps

Andrew LarkinLoughborough UniversityMarks RuziboevUzbekistan Academy of Sciences
ABI

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Abstract In this work, we study rates of mixing for small independent and identically distributed random perturbations of contracting Lorenz maps sufficiently close to a Rovella parameter. By using a random Young tower construction, we prove that this random system has exponential decay of correlations.

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