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摘要
We describe the dynamics of an arbitrary affine dynamical system on a local field by exhibiting all its minimal subsystems. In the special case of the field Q(p) of p-adic numbers, for any non-trivial affine dynamical system, we prove that the field Q(p) is decomposed into a countable number of invariant balls or spheres each of which consists of a finite number of minimal subsets. Consequently, we give a complete classification of topological conjugacy for non-trivial affine dynamics on Q(p). For each given prime p, there is a finite number of conjugacy classes.
- 出版日期2011-5
- 单位武汉大学
