随机高斯场中的临界点关联
Critical point correlations in random gaussian fields
摘要：
我们考虑随机高斯场的临界点-鞍点，最小值和最大值-分布的波动。我们计算了两点关联函数的渐近极限，对于不同的临界点密度，长和短的范围。我们执行的任何维度的字段的计算，提供明确的公式为二维和三维，并验证我们的结果与数值计算。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
