Critical behavior and the limit distribution for long-range oriented percolation. II: Spatial correlation
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Publication:842386
DOI10.1007/s00440-008-0174-6zbMath1176.60082arXiv0804.2039OpenAlexW2098467531MaRDI QIDQ842386
Publication date: 25 September 2009
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0804.2039
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Critical phenomena in equilibrium statistical mechanics (82B27)
Related Items (7)
The survival probability and \(r\)-point functions in high dimensions ⋮ Long-range self-avoiding walk converges to \(\alpha\)-stable processes ⋮ Asymptotic behavior of the gyration radius for long-range self-avoiding walk and long-range oriented percolation ⋮ Critical two-point function for long-range models with power-law couplings: the marginal case for \({d\ge d_{\mathrm{c}}}\) ⋮ High-dimensional incipient infinite clusters revisited ⋮ Spatial moments for high-dimensional critical contact process, oriented percolation and lattice trees ⋮ Critical two-point functions for long-range statistical-mechanical models in high dimensions
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- The lace expansion and its application. École d'Été de Probabilités de Saint-Flour XXXIV -- 2004.
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