Open Access
Translator Disclaimer
February, 1993 A Note on Some Rates of Convergence in First-Passage Percolation
Kenneth S. Alexander
Ann. Appl. Probab. 3(1): 81-90 (February, 1993). DOI: 10.1214/aoap/1177005508

Abstract

A variation is given of the van den Berg-Kesten inequality on the probability of disjoint occurrence of events enabling it to apply to random variables, rather than just to events, associated with various subsets of an index set. This is used to establish superadditivity of a certain family of generating functions associated with first-passage percolation. This leads to improved estimates for the rates of convergence of the expected values of certain passage times.

Citation

Download Citation

Kenneth S. Alexander. "A Note on Some Rates of Convergence in First-Passage Percolation." Ann. Appl. Probab. 3 (1) 81 - 90, February, 1993. https://doi.org/10.1214/aoap/1177005508

Information

Published: February, 1993
First available in Project Euclid: 19 April 2007

zbMATH: 0771.60090
MathSciNet: MR1202516
Digital Object Identifier: 10.1214/aoap/1177005508

Subjects:
Primary: 60K35
Secondary: 60E15

Keywords: disjoint occurrence of events , First-passage percolation , subadditivity‎

Rights: Copyright © 1993 Institute of Mathematical Statistics

JOURNAL ARTICLE
10 PAGES


SHARE
Vol.3 • No. 1 • February, 1993
Back to Top