in this talk i will show how understanding of the possible limiting measures of translations of a measure can help us to deal with certain counting problems. then i talk about the limiting measures of translations of a horospherical measure. finally i discuss how one can use this result to count the number rational points in a flag variety with respect to any line-bundle, reproving a result of franke-manin-tschinkel (anti-canonial line-bundle) and batyrev-tschinkel (arbitrary line-bundle). (joint with a. mohammadi)