The incipient infinite cluster in high-dimensional percolation
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Publication:4210552
DOI10.1090/S1079-6762-98-00046-8zbMath0902.60087arXivmath-ph/9805023OpenAlexW1858749548MaRDI QIDQ4210552
Publication date: 22 September 1998
Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/9805023
critical exponentpercolationscaling limitsuper-Brownian motionincipient infinite clusterintegrated super-Brownian excursion
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)
Related Items (3)
Large deviations under a viewpoint of metric geometry: measure-valued process cases ⋮ The scaling limit of the incipient infinite cluster in high-dimensional percolation. II. Integrated super-Brownian excursion ⋮ Mean-field lattice trees
Cites Work
- Mean-field critical behaviour for percolation in high dimensions
- The incipient infinite cluster in two-dimensional percolation
- Tree graph inequalities and critical behavior in percolation models
- Percolation critical exponents under the triangle condition
- The number and size of branched polymers in high dimensions
- The uniform random tree in a Brownian excursion
- The scaling limit of the incipient infinite cluster in high-dimensional percolation. I: Critical exponents
- Sharpness of the phase transition in percolation models
- The continuum random tree. III
- Tree-based models for random distribution of mass
- On the number of incipient spanning clusters
- The scaling limit of the incipient infinite cluster in high-dimensional percolation. II. Integrated super-Brownian excursion
- Lattice trees and super-Brownian motion
- The birth of the infinite cluster: Finite-size scaling in percolation
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