| Abstract: |
| Spectral decomposition which is fundamental in the qualitative theory of dynamical systems delineates that the nonwandering set can be decomposed as a finite number of disjoint compact invariant indecomposable sets. In this talk we establish various types of spectral decomposition for group actions on compact metric spaces. In particular, we use a skew-product associated with a group action to derive the spectral decomposition of the nonwandering set in a given direction. This talk is based on reference [1].
References
[1] K.Lee, C. Morales and Y. Tang, Spectral decomposition and skew-product for group actions, preprint.
[2] K. Lee and N. Nguyen, Spectral decomposition and $\Omega$-stability of flows with expanding measures, J. Differential Equations 269 (2020), 7574-7604. |
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