arXiv subjects

A. A. Prikhod'Ko

Publications and source records attributed to A. A. Prikhod'Ko.

2 recordsLinked to original sources

arXiv2013

Weak limits of powers of Chacon's automorphism

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-projector to constants and an explicit family of polynomials. As a consequence, we answer negatively the question of alpha-weak mixing for Chacon's automorphism.

math.DS↗

arXiv2005

A new class of Ornstein transformations with singular spectrum

It is shown that for any family of probability measures in Ornstein type constructions the corresponding transformation has almost surely a singular spectrum. This is a new generalization of Bourgain's theorem, the same result is proved for Rudolph's construction.

math.DS↗