The three-state square-lattice Potts antiferromagnet at zero temperature

Journal of Statistical Physics

Volumn 92, Issue 5-6, 1998, Pages 729-753

  Salas, Jésus ^a   Sokal, Alan D ^b  

^a UNIVERSITY OF ZARAGOZA   (Spain)

^b POLYTECHNIC UNIVERSITY   (United States)

Author keywords

Antiferromagnetic Potts model; Cluster algorithm; Critical exponent; Critical ground state; Height representation; Monte Carlo; Wang Swendsen Koteck algorithm

Indexed keywords

EID: 0039758227     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1023002322985     Document Type: Article

References (9)

1. A. Zvavitch, The critical probability for Voronoi percolation, Master's thesis, The Weizman Institute of Science, Israel (1996).
2. J. Moller, Lectures on Random Voronoi Tessellations, Lectures Notes in Statistics, Vol. 87 (Springer-Verlag, 1994).
3. J. Gravner and D. Griffeath, Multitype threshold growth: Convergence to Poisson-Voronoi tessellations. Annals of Applied Probability 7:615-647 (1997).
4. d, many questions and some answers, Elect. Comm. in Probab. 1:71-82 (1996).
5. G. Grimmett, Percolation (Springer-Verlag, New York, 1989).
6. F. Dehne and R. Klein, "The big sweep," on the power of the wavefront approach to Voronoi diagrams. Algorithmica 17:19 (1997).
7. I. Benjamini and O. Schramm, Conformal invariance of Voronoi percolation, Comm. Math. Phys. (to appear).
8. T. M. Liggett, Interacting Particle System (Springer-Verlag, New York, 1985).
9. R. Lyons and Y. Peres, Probability on Trees, book in preparation.