### Limit laws for intermittent sequential and random dynamical systems

Ergodic Theory and Dynamical Systems Seminar

18th June 2020, 2:00 pm – 3:00 pm

Online, https://bluejeans.com/307503291

We consider sequential and random compositions of a family of intermittent maps (Liverani-Saussol-Vaienti) and prove that they satisfy large deviations bounds. We address the need for random centering in such bounds. We also improve previous results of Nicol-Török-Vaienti on a central limit theorem for this class of systems and prove that centering is generically needed to obtain almost sure CLTs. Joint work with Matt Nicol and Andrew Torok.

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