| dc.contributor.author | Nachmias, Asaf | |
| dc.contributor.author | Watson, Samuel S. | |
| dc.contributor.author | Mendelson, Dana Sydney | |
| dc.date.accessioned | 2016-10-21T20:57:48Z | |
| dc.date.available | 2016-10-21T20:57:48Z | |
| dc.date.issued | 2014-05 | |
| dc.date.submitted | 2012-10 | |
| dc.identifier.issn | 0010-3616 | |
| dc.identifier.issn | 1432-0916 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/104926 | |
| dc.description.abstract | We show that crossing probabilities in 2D critical site percolation on the triangular lattice in a piecewise analytic Jordan domain converge with power law rate in the mesh size to their limit given by the Cardy–Smirnov formula. We use this result to obtain new upper and lower bounds of e[superscript O(√log logR)] R[superscript -1/3] for the probability that the cluster at the origin in the half-plane has diameter R, improving the previously known estimate of R [superscript −1/3+o(1)]. | en_US |
| dc.description.sponsorship | Natural Sciences and Engineering Research Council of Canada. Postdoctoral Scholarship | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.). Graduate Research Fellowship Program (Award 1122374) | en_US |
| dc.publisher | Springer Berlin Heidelberg | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1007/s00220-014-2043-8 | en_US |
| dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
| dc.source | Springer Berlin Heidelberg | en_US |
| dc.title | Rate of Convergence for Cardy’s Formula | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Mendelson, Dana, Asaf Nachmias, and Samuel S. Watson. “Rate of Convergence for Cardy’s Formula.” Communications in Mathematical Physics 329.1 (2014): 29–56. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Mendelson, Dana Sydney | |
| dc.relation.journal | Communications in Mathematical Physics | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2016-08-18T15:24:06Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | Springer-Verlag Berlin Heidelberg | |
| dspace.orderedauthors | Mendelson, Dana; Nachmias, Asaf; Watson, Samuel S. | en_US |
| dspace.embargo.terms | N | en |
| mit.license | PUBLISHER_POLICY | en_US |
| mit.metadata.status | Complete | |
