Glauber dynamics on the cycle is monotone

Probability Theory and Related Fields

Volumn 127, Issue 2, 2003, Pages 177-185

  Nacu, Şerban ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242276125     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00440-003-0279-x     Document Type: Article

References (5)

1. Fortuin, C.M., Kasteleyn, P.W., Ginibre, J.: Correlation inequalities in some partially ordered sets. Comm. Math. Phys. 22, 89-103 (1971)
2. Kato, T.: Perturbation Theory for Linear Operators. Springer-Verlag, 1984
3. Kenyon, C., Mossel, E., Peres, Y.: Glauber Dynamics on Trees and Hyperbolic Graphs. Forty-Second IEEE Symposium on Foundations of Computer Science (FOCS), 2001
4. Liggett, T.M.: Interacting particle systems. Springer-Verlag, 1985
5. Martinelli, F.: Lectures on Glauber dynamics for discrete spin models. Lectures on probability theory and statistics (Saint-Flour, 1997) Lecture Notes in Math. 1717, Berlin: Springer, 1998, pp. 93-191