Critical exponents in percolation via lattice animals

Electronic Communications in Probability

Volumn 10, Issue , 2005, Pages 45-59

  Hammond, Alan ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Lattice animals; Percolation

Indexed keywords

EID: 15944376579     PISSN: None     EISSN: 1083589X     Source Type: Journal    
DOI: 10.1214/ECP.v10-1131     Document Type: Article

References (6)

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2. F. Delyon. Taille, forme et nombre des amas dans les problemes de percolation. These de 3eme cycle, Universite Pierre et Marie Curie, Paris, 1980.
3. S. Flesia, D.S. Gaunt, C.E. Soteros and S.G. Whittington. Statistics of collapsing lattice animals. J. Phys A 27(17):5831-5846, 1994.
4. Alan Hammond. A lattice animal approach to percolation. Available at www.arxiv.org/math.PR/0402026.
5. Harry Kesten and Yu Zhang. The probability of a large finite cluster in supercritical Bernoulli percolation. Ann. Probab., 18 (2):537-555, 1990.
6. Neal Madras. A rigorous bound on the critical exponent for the number of lattice tress, animals, and polygons. J. Statist. Phys., 78(3-4):681-699, 1995