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math.DS2020★ 1 cited
Area preserving surface diffeomorphisms with polynomial decay of correlations are ubiquitous
Yakov Pesin, Samuel Senti, Farruh Shahidi
We show that any surface admits an area preserving diffeomorphism with non-zero Lyapunov exponents which is Bernoulli and has polynomial decay of correlations. We establi…
math.DS2020★ 1 cited
Vector valued unified martingale and ergodic theorems with continuous parameter
Farruh Shahidi
We prove martingale-ergodic and ergodic-martingale theorems with continuous parameter for vector valued Bochner integrable functions. We first prove almost everywhere convergence o…