arXiv subjects

Ivan Podvigin

Publications and source records attributed to Ivan Podvigin.

2 recordsLinked to original sources

arXiv2025

On the rate of convergence of $\mathbb{R}^d$-ergodic averages constructed over a strictly convex set

For $\mathbb{R}^d$-ergodic means constructed over a strictly convex set, a spectral criterion for homogeneous rates of convergence is obtained. From Hertz's result on the asymptotics of the Fourier transform of the indicator of a strictly convex set, it follows that the rate of convergence does not depend on the specific form of such a set.

math.DS↗

arXiv2018

Ergodicity via continuity

We show that the ergodicity of an aperiodic automorphism of a Lebesgue space is equivalent to the continuity of a certain map on a metric Boolean algebra. A related characterization is also presented for periodic and totally ergodic transformations

math.DS↗