Measures and dynamics on Noetherian spaces
arXiv:1202.0793
Abstract
We give an explicit description of all finite Borel measures on Noetherian topological spaces X, and characterize them as objects dual to a space of functions on X. We use these results to study the asymptotic behavior of continuous dynamical systems on Noetherian spaces.
Minor revisions, results remain the same. To appear in the Journal of Geometric Analysis