随机复零点大涨落的Jancovici-Lebowitz- Manificat定律
The Jancovici - Lebowitz - Manificat law for large fluctuations of random complex zeroes
摘要：
随机复零点是指随机整函数的零点集，其泰勒系数是独立的复值高斯变量，并且第k个系数的方差是1/k！。该零点集相对于复平面的等距分布是不变的。我们研究大波动的随机复杂的零点，并表明，他们遵守的渐近定律，发现前一段时间由Jancovici，Lebowitz和Manificat的库仑系统的粒子的电荷波动。
英文摘要：
By random complex zeroes we mean the zero set of a random entire function whose Taylor coefficients are independent complex-valued Gaussian variables, and the variance of the k-th coefficient is 1/k!. This zero set is distribution invariant with respect to isometries of the complex plane. We study large fluctuations of random complex zeroes and show that they obey the asymptotic law that was discovered some time ago by Jancovici, Lebowitz and Manificat for charge fluctuations of a Coulomb system of particles.
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。
