Critical point correlations in random Gaussian fields

Avraham Klein; Oded Agam

doi:10.1088/1751-8113/45/2/025001

Critical point correlations in random Gaussian fields

Avraham Klein, Oded Agam

Racah Institute of Physics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

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 language	English
Article number	025001
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	45
Issue number	2
DOIs	https://doi.org/10.1088/1751-8113/45/2/025001
State	Published - 20 Jan 2012

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Statistics and Probability
Modelling and Simulation
Mathematical Physics
General Physics and Astronomy

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10.1088/1751-8113/45/2/025001

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Critical point correlations in random Gaussian fields

Abstract

All Science Journal Classification (ASJC) codes

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