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Curves of fixed points of trace maps
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Humphries, Stephen and Manning, Anthony. (2007) Curves of fixed points of trace maps. Ergodic Theory and Dynamical Systems, Vol.27 (No.4). pp. 11671198. ISSN 01433857

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Official URL: http://dx.doi.org/10.1017/S0143385707000016
Abstract
We study curves of fixed points for certain diffeomorphisms of ${\mathbb{R}}^3$ that are induced by automorphisms of a trace algebra. We classify these curves. There is a function $E$ which is invariant under all such trace maps and the level surfaces $E_t: E=t$ are invariant; a point of $E_t$ will be said to have level $t$. The surface $E_1$ is significant. Then most fixed points on $E_1$ are actually on a curve $\gamma$ of fixed points interior to $E_1$. We describe the possibilities for the other end of $\gamma$ on $E_1$.
Item Type:  Journal Article  

Subjects:  Q Science > QA Mathematics  
Divisions:  Faculty of Science > Mathematics  
Library of Congress Subject Headings (LCSH):  Invariants, Dynamics, Diffeomorphisms  
Journal or Publication Title:  Ergodic Theory and Dynamical Systems  
Publisher:  Cambridge University Press  
ISSN:  01433857  
Official Date:  22 June 2007  
Dates: 


Volume:  Vol.27  
Number:  No.4  
Page Range:  pp. 11671198  
Identification Number:  10.1017/S0143385707000016  
Status:  Peer Reviewed  
Access rights to Published version:  Open Access  
References:  Y. Avishai, D. Berend and D. Glaubman. Minimumdimension trace maps for substitution sequences. Phys. Rev. Lett. 72 (1994), 1842–1845. 

URI:  http://wrap.warwick.ac.uk/id/eprint/673 
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