Furstenberg's Times 2, Times 3 Conjecture (a Short Survey)

Matan Tal

Published: 2021/10/12

Abstract

The following is a concise exposition on the conjecture and three of its proofs for the case of positive entropy, by D. Rudolph [22] , by B. Host [14] and by W. Parry [21]. A simpler theorem of R. Lyons [19] - preceding them - is also presented and proved. This is a survey, no new results are introduced.