Critical point correlations in random gaussian fields
Disordered Systems and Neural Networks
2011-12-12 v1 Chaotic Dynamics
Data Analysis, Statistics and Probability
Abstract
We consider fluctuations in the distribution of critical points - saddle points, minima and maxima - of 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.
Cite
@article{arxiv.1111.5286,
title = {Critical point correlations in random gaussian fields},
author = {Avraham Klein and Oded Agam},
journal= {arXiv preprint arXiv:1111.5286},
year = {2011}
}
Comments
19 pages, 3 figures, accepted to J.Phys.A