|
2 | TeX | ||
|
Let us consider expanding maps E_m: x->mx $E_m: x\mapsto mx$ on the circle written additively. If we consider the set of all E_2 $E_2$ invariant probability Borel measures then the convex hull of atomic measures generated by E_2 $E_2$ periodic points are weak star dense in this set. I want to ask whether this is true for the set of probability Borel measures invariant under both maps E_2 $E_2$ and E_3. $E_3.$ |
||||
|
|
1 |
|
||
weak star density of atomic invariant measures ?Let us consider expanding maps E_m: x->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. I want to ask whether this is true for the set of probability Borel measures invariant under both maps E_2 and E_3.
|
||||
