منابع مشابه
Universality for Bond Percolation in Two Dimensions by Geoffrey
All (in)homogeneous bond percolation models on the square, triangular, and hexagonal lattices belong to the same universality class, in the sense that they have identical critical exponents at the critical point (assuming the exponents exist). This is proved using the star–triangle transformation and the boxcrossing property. The exponents in question are the one-arm exponent ρ, the 2j -alterna...
متن کاملInhomogeneous Bond Percolation on Square, Triangular and Hexagonal Lattices by Geoffrey
The star–triangle transformation is used to obtain an equivalence extending over the set of all (in)homogeneous bond percolation models on the square, triangular and hexagonal lattices. Among the consequences are boxcrossing (RSW) inequalities for such models with parameter-values at which the transformation is valid. This is a step toward proving the universality and conformality of these proc...
متن کاملConformal Invariance, Droplets, and Entanglement
Geoffrey Grimmett Abstract. Very brief surveys are presented of three topics of importance for interacting random systems, namely conformal invariance, droplets, and entanglement. For ease of description, the emphasis throughout is upon progress and open problems for the percolation model, rather than for the more general random-cluster model. Substantial recent progress has been made on each o...
متن کاملGeoffrey Jefferson 1886-1961.
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متن کاملEnvelopment Thomas Eisenmann Geoffrey
Due to network effects and switching costs, platform providers often become entrenched. To dislodge them, entrants generally must offer revolutionary products. We explore a second path to platform leadership change that does not rely on Schumpeterian creative destruction: platform envelopment. By leveraging common components and shared user relationships, one platform provider can move into ano...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 1992
ISSN: 0091-1798
DOI: 10.1214/aop/1176989820