High temperature expansions and dynamical systems

被引:67
作者
Bricmont, J [1 ]
Kupiainen, A [1 ]
机构
[1] HELSINKI UNIV,DEPT MATH,SF-00014 HELSINKI,FINLAND
基金
美国国家科学基金会;
关键词
D O I
10.1007/BF02108821
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We develop a resummed high-temperature expansion for lattice spin systems with long range interactions, in models where the free energy is not, in general, analytic. We establish uniqueness of the Gibbs state and exponential decay of the correlation functions. Then, we apply this expansion to the Perron-Frobenius operator of weakly coupled map lattices.
引用
收藏
页码:703 / 732
页数:30
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