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math.DS2013★ 7 cited
Weak limits of powers of Chacon's automorphism
Élise Janvresse, A. A. Prikhod'Ko, Thierry De La Rue +1
We completely describe the weak closure of the powers of the Koopman operator associated to Chacon's classical automorphism. We show that weak limits of these powers are the ortho-…
math.DS2013
Ergodic automorphisms with simple spectrum characterized by fast correlation decay
A. A. Prikhod'ko
The existence of measure preserving invertible transformations with simple spectrum is established possessing the following rate of correlation decay $(f(T^k x), f(x)) = O(|k|^…