Indexing metadata

Thermodynamic formalism and large deviations for multiplication-invariant potentials on lattice spin systems


 
Dublin Core PKP Metadata Items Metadata for this Document
 
1. Title Title of document Thermodynamic formalism and large deviations for multiplication-invariant potentials on lattice spin systems
 
2. Creator Author's name, affiliation, country Jean-René Chazottes; CNRS & École Polytechnique; France
 
2. Creator Author's name, affiliation, country Frank Redig; Delft University of Technology; Netherlands
 
3. Subject Discipline(s)
 
3. Subject Keyword(s)
 
3. Subject Subject classification 60K35, 60F10
 
4. Description Abstract We introduce the multiplicative Ising model and prove basic properties of its thermodynamic formalism such as existence of pressure and entropies. We generalize to one-dimensional "layer-unique'' Gibbs measures for which the same results can be obtained. For more general models associated to a $d$-dimensional multiplicative invariant potential, we prove a large deviation theorem in the uniqueness regime for averages of multiplicative shifts of general local functions. This thermodynamic formalism is motivated by the statistical properties of multiple ergodic averages.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) CNRS
 
7. Date (YYYY-MM-DD) 2014-04-01
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/3189
 
10. Identifier Digital Object Identifier 10.1214/EJP.v19-3189
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 19
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
15. Rights Copyright and permissions The Electronic Journal of Probability applies the Creative Commons Attribution License (CCAL) to all articles we publish in this journal. Under the CCAL, authors retain ownership of the copyright for their article, but authors allow anyone to download, reuse, reprint, modify, distribute, and/or copy articles published in EJP, so long as the original authors and source are credited. This broad license was developed to facilitate open access to, and free use of, original works of all types. Applying this standard license to your work will ensure your right to make your work freely and openly available.

Summary of the Creative Commons Attribution License

You are free
  • to copy, distribute, display, and perform the work
  • to make derivative works
  • to make commercial use of the work
under the following condition of Attribution: others must attribute the work if displayed on the web or stored in any electronic archive by making a link back to the website of EJP via its Digital Object Identifier (DOI), or if published in other media by acknowledging prior publication in this Journal with a precise citation including the DOI. For any further reuse or distribution, the same terms apply. Any of these conditions can be waived by permission of the Corresponding Author.