2 papers
math.DS2026
The full diapason of convergence rates of Birkhoff averages for ergodic flows
I. V. Podvigin, V. V. Ryzhikov
For an ergodic flow, a range of rates of convergence of Birkhoff averages from the maximum rate to an arbitrarily slow rate is realized by choosing the averaging function. For toru…
math.DS2018
Ergodicity via continuity
Ivan Podvigin
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 characterizatio…