most recent 30 from http://mathoverflow.net 2013-06-20T02:33:58Z http://mathoverflow.net/feeds/question/85319 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/85319/weak-star-density-of-atomic-invariant-measures IJ 2012-01-10T07:52:53Z 2012-01-10T07:56:31Z

<p>Let us consider expanding maps $E_m: x\mapsto mx$ on the circle written additively. If we consider the set of all $E_2$ invariant probability Borel measures then the convex hull of atomic measures generated by $E_2$ periodic points are weak star dense in this set. </p> <p>I want to ask whether this is true for the set of probability Borel measures invariant under both maps $E_2$ and $E_3.$ </p>