塔式多路复用和慢弱混合
Tower multiplexing and slow weak mixing
摘要:
提出了一种将两个遍历保测变换复用在一起以导出第三极限变换的技术。这种技巧被用来解决一个关于弱混合变换的刚性问题。也就是说,给定遍历保测变换的任意刚性序列,存在沿同一刚性序列的弱混合变换。这为弱混合动力系统建立了广泛的刚性序列。
英文摘要:
A technique is presented for multiplexing two ergodic measure preserving transformations together to derive a third limiting transformation. This technique is used to settle a question regarding rigidity of weak mixing transformations. Namely, given any rigidity sequence for an ergodic measure preserving transformation, there exists a weak mixing transformation which is rigid along the same sequence. This establishes a wide range of rigidity sequences for weakly mixing dynamical systems.
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