Mesoscopics and fluctuations in networks
Abstract
We describe fluctuations in finite-size networks with a complex distribution of connections, P(k). We show that the spectrum of fluctuations of the number of vertices with a given degree is Poissonian. These mesoscopic fluctuations are strong in the large-degree region, where P(k) 1/N (N is the total number of vertices in a network), and are important in networks with fat-tailed degree distributions.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.