Superdiffusivity in first-passage percolation

C. Licea, Charles Newman, M. S T Piza

Research output: Contribution to journalArticle

Abstract

In standard first-passage percolation on ℤd (with d ≥ 2), the time-minimizing paths from a point to a plane at distance L are expected to have transverse fluctuations of order Lξ. It has been conjectured that ξ(d) ≥ 1/2 with the inequality strict (superdiffusivity) at least for low d and with ξ(2) = 2/3. We prove (versions of) ξ(d) ≥ 1/2 for all d and ξ(2) ≥ 3/5.

Original languageEnglish (US)
Pages (from-to)559-591
Number of pages33
JournalProbability Theory and Related Fields
Volume106
Issue number4
StatePublished - Dec 1996

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First-passage Percolation
Transverse
Fluctuations
Path
Standards

ASJC Scopus subject areas

  • Mathematics(all)
  • Analysis
  • Statistics and Probability

Cite this

Superdiffusivity in first-passage percolation. / Licea, C.; Newman, Charles; Piza, M. S T.

In: Probability Theory and Related Fields, Vol. 106, No. 4, 12.1996, p. 559-591.

Research output: Contribution to journalArticle

Licea, C, Newman, C & Piza, MST 1996, 'Superdiffusivity in first-passage percolation', Probability Theory and Related Fields, vol. 106, no. 4, pp. 559-591.
Licea, C. ; Newman, Charles ; Piza, M. S T. / Superdiffusivity in first-passage percolation. In: Probability Theory and Related Fields. 1996 ; Vol. 106, No. 4. pp. 559-591.
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