Expansion for the critical point of site percolation: the first three terms

  • We expand the critical point for site percolation on the d-dimensional hypercubic lattice in terms of inverse powers of 2d, and we obtain the first three terms rigorously. This is achieved using the lace expansion.

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Metadaten
Author:Markus HeydenreichGND, Kilian Matzke
URN:urn:nbn:de:bvb:384-opus4-1037666
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/103766
ISSN:0963-5483OPAC
ISSN:1469-2163OPAC
Parent Title (English):Combinatorics, Probability and Computing
Publisher:Cambridge University Press (CUP)
Place of publication:Cambridge
Type:Article
Language:English
Year of first Publication:2022
Publishing Institution:Universität Augsburg
Release Date:2023/04/21
Tag:Applied Mathematics; Computational Theory and Mathematics; Statistics and Probability; Theoretical Computer Science
Volume:31
Issue:3
First Page:430
Last Page:454
DOI:https://doi.org/10.1017/s0963548321000365
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Stochastik und ihre Anwendungen
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):CC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand)

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