超度规动力学在特征零等特征场中的线性化
Linearization in ultrametric dynamics in fields of characteristic zero - equal characteristic case
摘要：
设$K$是特征为零的完备超度量域，其对应的剩余域$\Bbbk$也是特征为零的.给出了$K$上幂级数在中性不动点附近线性化圆盘大小的上界.这些估计是最大的意义上，存在着这些估计给出了相应的线性化光盘的确切大小的重复。在剩余情况下，即其中$K$是$p$ -进域或素特征域的情况下，在关于$p$ -adic情况的各种论文中获得（Ben-Menahem：1988年，Thiran/EtAL：1989年，Pettigrew/Roberts/Vivaldi：2001年，Khrennikov：2001年）（Lindahl：2009 arXiv：0910.3312）和（Lindahl：2004 http：//iopscience.iop.org/0951-7715/17/3/001/，Lindahl：2010 Contemp.关于主特征的情况。
英文摘要：
Let $K$ be a complete ultrametric field of charactersitic zero whose corresponding residue field $\Bbbk$ is also of charactersitic zero. We give lower and upper bounds for the size of linearization disks for power series over $K$ near an indifferent fixed point. These estimates are maximal in the sense that there exist exemples where these estimates give the exact size of the corresponding linearization disc. Similar estimates in the remaning cases, i.e. the cases in which $K$ is either a $p$-adic field or a field of prime characteristic, were obtained in various papers on the $p$-adic case (Ben-Menahem:1988,Thiran/EtAL:1989,Pettigrew/Roberts/Vivaldi:2001,Khrennikov:2001) later generalized in (Lindahl:2009 arXiv:0910.3312), and in (Lindahl:2004 http://iopscience.iop.org/0951-7715/17/3/001/,Lindahl:2010Contemp. Math) concerning the prime characteristic case.
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