Dynamical Systems Seminar
主講者: | 廖靈敏教授 (Université Paris-Est) |
講題: | Dynamical systems on the field of p-adic numbers |
時間: | 2013-08-19 (Mon.) 15:00 - |
地點: | 數學所 714 研討室 (台大院區) |
Abstract: | Polynomials and rational maps are considered as dynamical systems on the field Q_p of p-adic numbers. For a polynomial with coefficients in the ring of p-adicintegers, the space is decomposed into minimal components and their attracting basins. A transitive locally expanding polynomial, restricted to its Julia subset, is conjugate to a subshift of finite type. For rational maps, the homographic transformations on the projective line over Q_p are studied. Such a system has countablely many minimal components, when it admits fixed points and has only finitely many minimal components when it has no fixed point. |
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