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General laws of the analytic linearization for random diffeomorphisms |
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| Authors: | Lei Jiao Ming Li Hao Wu |
| Institution: | 1. School of Science, Nanjing University of Science and Technology, Nanjing, 210094, Jiangsu, People’s Republic of China 2. School of Mathematical Sciences, Nankai University, Tianjin, 300071, People’s Republic of China 3. Department of Mathematics, Southeast University, Nanjing, 210096, Jiangsu, People’s Republic of China |
| Abstract: | We show that random dynamical systems obey the similar laws of the linear analytic linearization as non-autonomous difference systems, which naturally cover the validity and invalidity of Poincaré and Seigel type theorems for random diffeomorphisms, respectively. |
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