Critical point correlations in random Gaussian fields

Avraham Klein*, Oded Agam

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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 languageAmerican English
Article number025001
JournalJournal of Physics A: Mathematical and Theoretical
Issue number2
StatePublished - 20 Jan 2012


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