Stability of mixing and rapid mixing for hyperbolic flows
Tools
Tools
Tools
Field, M, Melbourne, I and Torok, A (2007) Stability of mixing and rapid mixing for hyperbolic flows ANNALS OF MATHEMATICS, 166 (1). 269 - 291. ISSN 0003-486X
![[img]](/style/images/fileicons/application_pdf.png)
| PDF 214Kb |
Abstract
We obtain general results on the stability of mixing and rapid mixing (superpolynomial decay of correlations) for hyperbolic flows. Amongst Cr Axiom A flows, r ≥ 2, we show that there is a C2-open, Cr-dense set of flows for which each nontrivial hyperbolic basic set is rapid mixing. This is the first general result on the stability of rapid mixing (or even mixing) for Axiom A flows that holds in a Cr, as opposed to H¨older, topology.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Science & Technology, Physical Sciences, Mathematics, ANOSOV-FLOWS, DYNAMICAL-SYSTEMS, THEOREM, DECAY, AXIOM |
| Divisions: | Faculty of Engineering and Physical Sciences > Mathematics |
| Related URLs: | |
| ID Code: | 1365 |
| Deposited By: | Mr Adam Field |
| Deposited On: | 27 May 2010 15:40 |
| Last Modified: | 16 Feb 2013 16:27 |
Document Downloads
Repository Staff Only: item control page