The Library
Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps
Tools
Buzzi, Jérôme and Sarig, Omri (2003) Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps. Ergodic Theory and Dynamical Systems, Vol.23 (No.5). pp. 1383-1400. doi:10.1017/S0143385703000087 ISSN 0143-3857.
|
PDF
WRAP_Buzzi_uniqueness_equilibrium.pdf - Requires a PDF viewer. Download (229Kb) |
Official URL: http://dx.doi.org/10.1017/S0143385703000087
Abstract
We prove that potentials with summable variations on topologically transitive countable Markov shifts have at most one equilibrium measure. We apply this to multidimensional piecewise expanding maps using their Markov diagrams.
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Markov processes, Mappings (Mathematics), Piecewise linear topology, Ergodic theory, Dynamics | ||||
Journal or Publication Title: | Ergodic Theory and Dynamical Systems | ||||
Publisher: | Cambridge University Press | ||||
ISSN: | 0143-3857 | ||||
Official Date: | October 2003 | ||||
Dates: |
|
||||
Volume: | Vol.23 | ||||
Number: | No.5 | ||||
Page Range: | pp. 1383-1400 | ||||
DOI: | 10.1017/S0143385703000087 | ||||
Status: | Peer Reviewed | ||||
Access rights to Published version: | Open Access (Creative Commons) |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |
Downloads
Downloads per month over past year