A Surface View of First-Passage Percolation

Charles M. Newman
Additional contact information
Charles M. Newman: New York University, Courant Institute of Mathematical Sciences

A chapter in Proceedings of the International Congress of Mathematicians, 1995, pp 1017-1023 from Springer

Abstract: Abstract Let $$\tilde B$$ (t) be the set of sites reached from the origin by time t in standard first-passage percolation on Z d , and let B0 (roughly lim $$\tilde B$$ (t)/t) be its deterministic asymptotic shape. We relate the t → ∞ microstructure of the surface of $$\tilde B$$ (t) to spanning trees of time-minimizing paths and their transverse deviations and to curvature properties of B0. The most complete results are restricted to d = 2.

Date: 1995
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-9078-6_94

Ordering information: This item can be ordered from
http://www.springer.com/9783034890786

DOI: 10.1007/978-3-0348-9078-6_94

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().