One dimensional 1/|j ? i| S percolation models: The existence of a transition forS?2

C. M. Newman; L. S. Schulman

doi:10.1007/bf01211064

journal article Dec 01, 1986

One dimensional 1/|j ? i| S percolation models: The existence of a transition forS?2

C. M. Newman L. S. Schulman

Communications in Mathematical Physics Vol. 104 No. 4 pp. 547-571 · Springer Science and Business Media LLC

View at Publisher Save 10.1007/bf01211064

Topics

No keywords indexed for this article. Browse by subject →

References

10

[1]

Aizenman, M., Chayes, J. T., Chayes, L., Fröhlich, J., Russo, L.: On a sharp transition from area law to perimeter law in a system of random surfaces. Commun. Math. Phys.92, 19?69 (1983) 10.1007/bf01206313

[2]

Aizenman, M., Chayes, J. T., Chayes, L., Newman, C. M.: Discontinuity of the order parameter in one-dimensional 1/|x?y|2 Ising and Potts models. (in preparation)

[3]

Aizenman, M., Newman, C. M.: Discontinuity of the percolation density in one-dimensional 1/|x?y|2 percolation models. (in preparation)

[4]

Anderson, P. W., Yuval, G., Hamann, D. R.: Exact results in the Kondo problem. II, scaling theory, qualitatively correct solution, and some new results on one-dimensional classical statistical mechanics. Phys. Rev.B1, 4464?4473 (1970) 10.1103/physrevb.1.4464

[5]

Existence of a phase-transition in a one-dimensional Ising ferromagnet

Freeman J. Dyson

Communications in Mathematical Physics 1969 10.1007/bf01645907

[6]

The phase transition in the one-dimensional Ising Model with 1/r 2 interaction energy

Jürg Fröhlich, Thomas Spencer

Communications in Mathematical Physics 1982 10.1007/bf01208373

[7]

Grimmett, G. R., Keane, M., Marstrand, J. M.: On the connectedness of a random graph. Math. Proc. Camb. Philos. Soc.96, 151?166 (1984) 10.1017/s0305004100062034

[8]

Newman, C. M., Schulman, L. S.: Infinite clusters in percolation models. J. Stat. Phys.26, 613?628 (1981) 10.1007/bf01011437

[9]

Schulman, L. S.: Long range percolation in one dimension. J. Phys. A. Lett.16, L639-L641 (1983)

[10]

Shamir, E.: Private communication

Cited By

86

Classical sequential growth dynamics for causal sets

D. P. Rideout, R. D. Sorkin · 1999

Physical Review D

Discontinuity of the percolation density in one dimensional 1/|x?y|2 percolation models

M. Aizenman, C. M. Newman · 1986

Communications in Mathematical Phys...

Metrics

86

Citations

10

References

Details

Published: Dec 01, 1986
Vol/Issue: 104(4)
Pages: 547-571
License: View

Authors

Cite This Article

C. M. Newman, L. S. Schulman (1986). One dimensional 1/|j ? i| S percolation models: The existence of a transition forS?2. Communications in Mathematical Physics, 104(4), 547-571. https://doi.org/10.1007/bf01211064

One dimensional 1/|j ? i| S percolation models: The existence of a transition forS?2

You May Also Like