| dc.contributor.author | Du, Hang | |
| dc.contributor.author | Gao, Yifan | |
| dc.contributor.author | Li, Xinyi | |
| dc.contributor.author | Zhuang, Zijie | |
| dc.date.accessioned | 2025-04-02T18:57:55Z | |
| dc.date.available | 2025-04-02T18:57:55Z | |
| dc.date.issued | 2024-07-23 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/159034 | |
| dc.description.abstract | In this work, we consider critical planar site percolation on the triangular lattice and derive sharp estimates on the asymptotics of the probability of half-plane j-arm events for j ≥ 1 and planar (polychromatic) j-arm events for j > 1 , building upon a recent, not yet peer-reviewed result of Binder and Richards (Convergence rates of random discrete model curves approaching sle curves in the scaling limit. Preprint, 2020). These estimates greatly improve previous results and in particular answer (a large part of) a question of Schramm (ICM Proc., 2006). | en_US |
| dc.publisher | Springer Berlin Heidelberg | en_US |
| dc.relation.isversionof | https://doi.org/10.1007/s00220-024-05028-0 | 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 | Sharp Asymptotics for Arm Probabilities in Critical Planar Percolation | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Du, H., Gao, Y., Li, X. et al. Sharp Asymptotics for Arm Probabilities in Critical Planar Percolation. Commun. Math. Phys. 405, 182 (2024). | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| 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 | 2025-03-27T13:46:23Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature | |
| dspace.embargo.terms | Y | |
| dspace.date.submission | 2025-03-27T13:46:23Z | |
| mit.journal.volume | 405 | en_US |
| mit.license | PUBLISHER_POLICY | |
| mit.metadata.status | Authority Work and Publication Information Needed | en_US |
