8 citations · 27 across the 9 of their papers we have counts for
9 papers
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-…
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|^…
Singular Schaeffer-Salem measures of dynamical system origin
A. A. Prikhod'ko
We study a class of dynamical systems given by measure preserving actions of the group or and generating a set of spectral measures with an extremal rate of the Fourier…
Lower bounds for symbolic complexity of iceberg dynamical systems
A. A. Prikhod'ko
The symbolic complexity of an infinite word is the function counting the number of different subwords in of length . In this paper our main purpose is to study…
On group actions with simple Lebesgue spectrum
A. A. Prikhod'ko
In this paper we propose a construction of measure preserving actions of the group with Lebesgue spectrum of multiplicity one.
On ergodic properties of iceberg transformations. I: Approximation and spectral multiplicity
A. A. Prikhod'ko
We investigate a class of mixing dynamical systems around the concept of iceberg transformation. In brief, an iceberg transformation is defined using symbolic language as follows.…