TY - JOUR
T1 - Critical point correlations in random Gaussian fields
AU - Klein, Avraham
AU - Agam, Oded
PY - 2012/1/20
Y1 - 2012/1/20
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=83455244763&partnerID=8YFLogxK
U2 - 10.1088/1751-8113/45/2/025001
DO - 10.1088/1751-8113/45/2/025001
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AN - SCOPUS:83455244763
SN - 1751-8113
VL - 45
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
IS - 2
M1 - 025001
ER -