Multifractal spectra of certain random Gibbs measures

被引：5
|
作者：
Fan, AH
Shieh, NR
机构：
[1] Univ Picardie, Dept Math, F-80039 Amiens 1, France
[2] Natl Taiwan Univ, Dept Math, Taipei 10764, Taiwan
来源：
STATISTICS & PROBABILITY LETTERS | 2000年 / 47卷 / 01期
关键词：
Gibbs measure; pressure function; multifractal spectrum;
D O I：
10.1016/S0167-7152(99)00133-9
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We consider a random Gibbs measure mu(d eta, omega) generated by a certain sequence of random functions g(n)(eta, omega) on the configuration space of one-dimensional system of lattice particles. Under concrete conditions, we prove that, for almost sure omega, mu(d eta, omega) has a non-random non-trivial multifractal spectrum. The basic idea is to relate our situation to random matrix products discussed in Ruelle (1979, Adv. Math. 32, 68-80). (C) 2000 Elsevier Science B.V. All rights reserved.
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页码：25 / 31
页数：7
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