The work of Lucio Russo on percolation
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Type
Article
Change log
Authors
Grimmett, Geoffrey R
Abstract
The contributions of Lucio Russo to the mathematics of percolation and disordered systems are outlined. The context of his work is explained, and its ongoing impact on current work is described and amplified.
Description
Keywords
percolation, Ising model, Russo's formula, RSW inequality, box crossing, approximate zero-one law, influence, sharp threshold
Journal Title
Mathematics and Mechanics of Complex Systems
Conference Name
Journal ISSN
2326-7186
2325-3444
2325-3444
Volume Title
4
Publisher
Mathematical Sciences Publishers
Publisher DOI
Sponsorship
Engineering and Physical Sciences Research Council (EP/I03372X/1)
This work was supported in part by the Engineering and Physical Sciences Research Council under grant EP/I03372X/1.