Measures and dynamics on Noetherian spaces
classification
🧮 math.DS
math.AG
keywords
noetherianspacesmeasuresasymptoticbehaviorborelcharacterizecontinuous
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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.
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