Kesten's theorem

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo two-dimensional square lattice
gptkbp:describes critical probability for bond percolation on the square lattice
gptkbp:field gptkb:percolation_theory
gptkb:probability_theory
https://www.w3.org/2000/01/rdf-schema#label Kesten's theorem
gptkbp:namedAfter gptkb:Harry_Kesten
gptkbp:publishedIn gptkb:Communications_in_Mathematical_Physics
gptkbp:significance solved a long-standing open problem in percolation theory
gptkbp:state the critical probability for bond percolation on the square lattice is 1/2
gptkbp:yearProved 1980
gptkbp:bfsParent gptkb:Harry_Kesten
gptkbp:bfsLayer 7