An extension of the inductive approach to the lace expansion
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1. | Title | Title of document | An extension of the inductive approach to the lace expansion |
2. | Creator | Author's name, affiliation, country | Mark P Holmes; University of Auckland |
2. | Creator | Author's name, affiliation, country | Remco van der Hofstad; Eindhoven University of Technology |
2. | Creator | Author's name, affiliation, country | Gordon Slade; University of British Columbia |
3. | Subject | Discipline(s) | |
3. | Subject | Keyword(s) | Lace expansion; lattice trees; percolation; induction |
3. | Subject | Subject classification | 60K35; 82B27; 82B41; 82B43 |
4. | Description | Abstract | We extend the inductive approach to the lace expansion, previously developed to study models with critical dimension 4, to be applicable more generally. In particular, the result of this note has recently been used to prove Gaussian asymptotic behaviour for the Fourier transform of the two-point function for sufficiently spread-out lattice trees in dimensions $d > 8$, and it is potentially also applicable to percolation in dimensions $d > 6$. |
5. | Publisher | Organizing agency, location | |
6. | Contributor | Sponsor(s) | NWO, NSERC |
7. | Date | (YYYY-MM-DD) | 2008-06-15 |
8. | Type | Status & genre | Peer-reviewed Article |
8. | Type | Type | |
9. | Format | File format | |
10. | Identifier | Uniform Resource Identifier | http://ecp.ejpecp.org/article/view/1377 |
10. | Identifier | Digital Object Identifier | 10.1214/ECP.v13-1377 |
11. | Source | Journal/conference title; vol., no. (year) | Electronic Communications in Probability; Vol 13 |
12. | Language | English=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
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