The Library
Erratum : A necessary and sufficient condition for a two-sided continuous function to be cohomologous to a one-sided continuous function (vol 18, pg 131, 2003)
Tools
Tools
Tools
Walters, Peter, 1943-. (2003) Erratum : A necessary and sufficient condition for a two-sided continuous function to be cohomologous to a one-sided continuous function (vol 18, pg 131, 2003). Dynamical Systems, Vol.18 (No.3). pp. 271-278. ISSN 1468-9367
Full text not available from this repository.
Official URL: http://dx.doi.org/10.1080/1468936031000095672
Abstract
If (T) over cap : (X) over cap --> (X) over cap is a two-sided subshift on a finite number of symbols and T : X --> X is the corresponding one-sided subshift we give a necessary and sufficient condition for a continuous function (f) over cap : (X) over cap --> R to be cohomologous, with respect to ((X) over cap, (T) over cap), to a continuous function which can be defined on X. The property of being cohomologous to such a 'one-sided' function is important in the study of equilibrium states because there are extra tools, such as the Ruelle transfer operator, for one-sided systems. We present the results in the more general context when T : X --> X is a continuous surjection of a compact metric space and (T) over cap: (X) over cap --> (X) over cap is its natural extension, and look at the special case of subshifts. We also prove some related results and give applications to subshifts.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics T Technology > TJ Mechanical engineering and machinery |
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Dynamical Systems |
| Publisher: | Taylor & Francis Ltd. |
| ISSN: | 1468-9367 |
| Date: | September 2003 |
| Volume: | Vol.18 |
| Number: | No.3 |
| Number of Pages: | 8 |
| Page Range: | pp. 271-278 |
| Identification Number: | 10.1080/1468936031000095672 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| Description: | Due to unforeseen circumstances, several corrections were missed from the published version of the above paper. The corrected paper is reprinted in its entirety below. Taylor & Francis apologise for the errors |
| URI: | http://wrap.warwick.ac.uk/id/eprint/9128 |
Data sourced from Thomson Reuters' Web of Knowledge
Actions (login required)
 |
View Item |
