One dimensional 1/|j - i|S percolation models: The existence of a transition for S≦2

Communications in Mathematical Physics

Volumn 104, Issue 4, 1986, Pages 547-571

  Newman, C M ^a   Schulman, L S ^a,b,c  

^a UNIVERSITY OF ARIZONA   (United States)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^c CLARKSON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000314880     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/BF01211064     Document Type: Article

References (10)

1. On a sharp transition from area law to perimeter law in a system of random surfaces
2. Exact results in the Kondo problem. II, scaling theory, qualitatively correct solution, and some new results on one-dimensional classical statistical mechanics
3. Existence of phase-transition in a one-dimensional Ising ferromagnet
4. The phase transition in the one-dimensional Ising model with 1/r2 interaction energy
5. On the connectedness of a random graph
6. Infinite clusters in percolation models
7. Long range percolation in one dimension