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Hyperscaling and the critical exponentv

โœ Scribed by M. J. Holwerda; W. L. van Neerven; R. P. van Royen


Book ID
112889611
Publisher
Springer-Verlag
Year
1979
Weight
690 KB
Volume
52
Category
Article
ISSN
0369-3546

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Uniform boundedness of critical crossing
โœ C. Borgs; J. T. Chayes; H. Kesten; J. Spencer ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 324 KB

We consider bond percolation on the d-dimensional hypercubic lattice. Assuming the existence of a single critical exponent, the exponent ฯ describing the decay rate of point-to-plane crossings at the critical point, we prove that hyperscaling holds whenever critical rectangle crossing probabilities