Critical point correlations in random Gaussian fields

Avraham Klein, Oded Agam

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We consider fluctuations in the distribution of critical pointssaddle points, minima and maximaof random Gaussian fields. We calculate the asymptotic limits of the two point correlation function for various critical-point densities, for both long and short range. We perform the calculation for any dimension of the field, provide explicit formulae for two and three dimensions and verify our results with numerical calculations.

Original languageEnglish (US)
Article number025001
JournalJournal of Physics A: Mathematical and Theoretical
Volume45
Issue number2
DOIs
StatePublished - Jan 20 2012

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