Glauber dynamics on hyperbolic graphs: Boundary conditions and mixing time
作者： Alessandra Bianchi
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arxiv.org 参考文章(19)
Geoffrey R. Grimmett, Charles Newman, Percolation in ∞ + 1 dimensions Claredon Press. pp. 167- 190 ,(1990)
Johan Jonasson, Jeffrey E. Steif, Amenability and phase transition in the Ising model Journal of Theoretical Probability. ,vol. 12, pp. 549- 559 ,(1997) , 10.1023/A:1021690414168
Torgny Lindvall, Lectures on the Coupling Method ,(1992)
T. Bodineau, Fabio Martinelli, Some New Results on the Kinetic Ising Model in a Pure Phase Journal of Statistical Physics. ,vol. 109, pp. 207- 235 ,(2002) , 10.1023/A:1019939712267
Harry Kesten, Percolation theory for mathematicians ,(1982)
Fabio Martinelli, Alistair Sinclair, Dror Weitz, Glauber Dynamics on Trees: Boundary Conditions and Mixing Time Communications in Mathematical Physics. ,vol. 250, pp. 301- 334 ,(2004) , 10.1007/S00220-004-1147-Y
C. Chris Wu, Ising models on hyperbolic graphs Journal of Statistical Physics. ,vol. 85, pp. 251- 259 ,(1996) , 10.1007/BF02175564
Russell Lyons, Phase transitions on nonamenable graphs Journal of Mathematical Physics. ,vol. 41, pp. 1099- 1126 ,(2000) , 10.1063/1.533179
C. M. Series, Ya. G. Sinai, Ising models on the Lobachevsky plane Communications in Mathematical Physics. ,vol. 128, pp. 63- 76 ,(1990) , 10.1007/BF02097045
F. Martinelli, E. Olivieri, Approach to equilibrium of Glauber dynamics in the one phase region. II. The general case Communications in Mathematical Physics. ,vol. 161, pp. 487- 514 ,(1994) , 10.1007/BF02101930