The Jancovici - Lebowitz - Manificat law for large fluctuations of random complex zeroes

Details The Jancovici - Lebowitz - Manificat law for large fluctuations of random complex zeroes The Jancovici - Lebowitz - Manificat law for large fluctuations of random complex zeroes

2007-07-26

arxiv.org/abs/0707.3863v2

Mathematics

Probability

34 pages, 1 figure

Scientific paper

10.1007/s00220-008-0646-7

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.

Affiliated with

Also associated with

No associations

Rating

The Jancovici - Lebowitz - Manificat law for large fluctuations of random complex zeroes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Jancovici - Lebowitz - Manificat law for large fluctuations of random complex zeroes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Jancovici - Lebowitz - Manificat law for large fluctuations of random complex zeroes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-40470