Apology if this question is not appropriate. I was looking to associate entropy to eigenvectors for some of my work and I found the link http://chaos.if.uj.edu.pl/~karol/pdf/ZK94.pdf . This leads to the concept of localization of eigenvectors as mentioned in https://www.researchgate.net/profile/Luca_Molinari/publication/236159789_Scaling_Properties_of_Band_Random_Matrices_Giulio_Casati_Luca_Molinari_and_Felix_Izrailev_Phys._Rev._Lett._64_1851_(1990)/links/00463516883193f770000000.pdf
The abstract of the second link is: "It is shown on the basis of numerical data that the normalised localisation length of eigenvectors of band random matrices follows a scaling law. The scaling parameteris b2/N, where Ь measures the band-width and N is the size of the matrix."
May I ask what exactly 'localization length of eigenvectors' means. I understand eigenvectors are generally unity length and it is important for direction only. Can anyone please help.