The work of Lucio Russo on percolation
Mathematics and Mechanics of Complex Systems
Mathematical Sciences Publishers
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Grimmett, G. (2016). The work of Lucio Russo on percolation. Mathematics and Mechanics of Complex Systems, 4 (3-4), 199-211. https://doi.org/10.2140/memocs.2016.4.199
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.
percolation, Ising model, Russo's formula, RSW inequality, box crossing, approximate zero-one law, influence, sharp threshold
This work was supported in part by the Engineering and Physical Sciences Research Council under grant EP/I03372X/1.
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External DOI: https://doi.org/10.2140/memocs.2016.4.199
This record's URL: https://www.repository.cam.ac.uk/handle/1810/259960