2019
Том 71
№ 11

# Sivak A. G.

Articles: 3
Anniversaries (Ukrainian)

### Oleksandr Mykolaiovych Sharkovs’kyi (on his 80th birthday)

Ukr. Mat. Zh. - 2017. - 69, № 2. - pp. 257-260

Article (Russian)

### Descriptive Estimates for a Set of Points That Approximate an Ergodic Measure

Ukr. Mat. Zh. - 2003. - 55, № 6. - pp. 817-823

We obtain descriptive estimates for a set of points that approximate an ergodic invariant measure of a continuous mapping on a compact set. For example, in the case of a metrically transitive mapping with an invariant measure equivalent to the Lebesgue measure, we prove that a set of points generating invariant measures with maximum support contains a dense G δ-set, whereas, in the general case, one has a much worse estimate G δσδ.

Anniversaries (Ukrainian)

### Aleksandr Nikolaevich Sharkovsky (on his 60th birthday)

Ukr. Mat. Zh. - 1996. - 48, № 12. - pp. 1602-1603