Ornstein-Zernike theory for the Bernoulli bond percolation on ℤd

Annals of Probability

Volumn 30, Issue 2, 2002, Pages 652-682

  Campanino, Massimo ^a   Ioffe, Dmitry ^a  

^a UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

Local limit theorems; Multidimensional renewal; Ornstein Zernike decay of connectivities; Percolation; Renormalization

Indexed keywords

EID: 0036018186     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1023481005     Document Type: Article

References (18)

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3. Stability of the Wulff minimum and fluctuations in shape for large finite clusters in two-dimensional percolation
4. Approximation of subadditive functions and convergence rates in limiting-shape results
5. Power-law corrections to exponential decay of connectivities and correlations in lattice models
6. The Wulff construction and asymptotics of the finite cluster distribution for two-dimensional Bernoulli percolation
7. Gaussian fluctuations in the subcritical regime of percolation
8. Ornstein-Zernike behavior for self-avoiding walks at all noncritical temperatures
9. Large and moderate deviations in the Ising model
10. d
11. Dobrushin-Kotecký-Shlosman theorem up to the critical temperature I
12. Coincidence of critical points in percolation problems
13. Convex bodies: The brunn-minkowski theory