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arXiv 0909.2539math.DS
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丛RDS中位势次可加序列的变分原理

Variational principle for subadditive sequence of potentials in bundle RDS

Xianfeng Ma, Ercai Chen

摘要:

定义了丛随机动力系统中势的次可加序列的拓扑压。在很弱的条件下建立了拓扑压的变分原理。这一结果在非共形动力系统随机形式的多重分形分析研究中有一定的应用。

英文摘要:

The topological pressure is defined for subadditive sequence of potentials in bundle random dynamical systems. A variational principle for the topological pressure is set up in a very weak condition. The result may have some applications in the study of multifractal analysis for random version of nonconformal dynamical systems.

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