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

• Date: 2003
• Main Authors: Sivak, A. G., Сивак, А. Г.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2003
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3956
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 generati...