Two notes on measure-theoretic entropy of random dynamical systems |
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| Authors: | Yu Jun Zhu |
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| Affiliation: | (1) College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, 050016, P. R. China |
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| Abstract: | In this paper, Brin-Katok local entropy formula and Katok’s definition of the measure-theoretic entropy using spanning set are established for the random dynamical system over an invertible ergodic system. Supported by the National Natural Science Foundation of China (No. 10701032) and Natural Science Foundation of Hebei Province (No. A2008000132) |
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| Keywords: | random dynamical system measure-theoretic entropy local entropy |
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