A LOCAL VARIATIONAL PRINCIPLE FOR RANDOM BUNDLE TRANSFORMATIONS

作者：Ma, Xianfeng^*; Chen, Ercai

来源：Stochastics and Dynamics, 2013, 13(3): 1250023.

DOI：10.1142/S0219493712500232

• Entropy
• local variational principle
• random bundle transformation

We introduce local topological entropy h(top)(T, U) and two kinds of local measure-theoretic entropy h(mu)((r)-) (T, U) and h mu((r)+) (T, U) for random bundle transformations. We derive a variational inequality of random local entropy for h mu((r)+) (T, U). As an application of such relation we prove a local variational principle in random dynamical system.

• 出版日期2013-9
• 单位南京师范大学; 南京大学; 华东理工大学