English

Measures and dynamics on Noetherian spaces

Dynamical Systems 2012-12-21 v2 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.1202.0793,
  title  = {Measures and dynamics on Noetherian spaces},
  author = {William Gignac},
  journal= {arXiv preprint arXiv:1202.0793},
  year   = {2012}
}

Comments

Minor revisions, results remain the same. To appear in the Journal of Geometric Analysis

R2 v1 2026-06-21T20:14:39.146Z