ALMOST SURE QUASILOCALITY IN THE RANDOM CLUSTER MODEL

被引:16
|
作者
PFISTER, CE [1 ]
VELDE, KV [1 ]
机构
[1] KATHOLIEKE UNIV LEUVEN,INST THEORET FYS,B-3001 LOUVAIN,BELGIUM
关键词
RANDOM CLUSTER MODEL; NON-GIBBS SLATES; QUASILOCALITY OF CONDITIONAL DISTRIBUTIONS;
D O I
10.1007/BF02184883
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate the Gibbsianness of the random cluster measures mu(q,p) and ($) over tilde mu(q,p), obtained as the infinite-volume limit of finite-volume measures with free and wired boundary conditions. For q > 1, the measures are not Gibbs measures, but it turns out that the conditional distribution on one edge, given the configuration outside that edge, is almost surely quasilocal.
引用
收藏
页码:765 / 774
页数:10
相关论文
共 50 条
  • [41] An Almost Sure Result on Sampling of Bandlimited Random Signals
    He Gaiyun
    Song Zhanjie
    CHINESE JOURNAL OF ELECTRONICS, 2013, 22 (04): : 747 - 750
  • [42] Variational principle and almost quasilocality for renormalized measures
    Fernández, R
    Le Ny, A
    Redig, F
    JOURNAL OF STATISTICAL PHYSICS, 2003, 111 (1-2) : 465 - 478
  • [43] Variational Principle and Almost Quasilocality for Renormalized Measures
    Roberto Fernández
    Arnaud Le Ny
    Frank Redig
    Journal of Statistical Physics, 2003, 111 : 465 - 478
  • [44] ALMOST SURE CENTRAL LIMIT THEOREM FOR BRANCHING RANDOM WALKS IN RANDOM ENVIRONMENT
    Nakashima, Makoto
    ANNALS OF APPLIED PROBABILITY, 2011, 21 (01): : 351 - 373
  • [45] Almost Sure Versions of Limit Theorems for Random Sums of Multiindex Random Variables
    Chuprunov, A. N.
    Terekhova, L. P.
    RUSSIAN MATHEMATICS, 2010, 54 (02) : 74 - 83
  • [46] Almost sure versions of limit theorems for random allocations with the random number of cells
    Chuprunov A.
    Terekhova L.
    Lobachevskii Journal of Mathematics, 2010, 31 (3) : 271 - 289
  • [47] On almost sure convergence for double arrays of dependent random variables
    Chen, Meng-ru
    Zhu, Ya-hui
    Niu, Xiao-hui
    Peng, Wei-cai
    Wang, Zhong-zhi
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2024, 53 (03) : 938 - 952
  • [48] Almost sure invariance principle for random piecewise expanding maps
    Dragicevic, Davor
    Froyland, G.
    Gonzalez-Tokman, C.
    Vaienti, S.
    NONLINEARITY, 2018, 31 (05) : 2252 - 2280
  • [49] On almost sure limit theorems for positively dependent random variables
    Matula, P
    STATISTICS & PROBABILITY LETTERS, 2005, 74 (01) : 59 - 66
  • [50] Almost sure limit theorem for stationary Gaussian random fields
    Choi, Hyemi
    JOURNAL OF THE KOREAN STATISTICAL SOCIETY, 2010, 39 (04) : 449 - 454