Periodicities in linear fractional recurrences: Degree growth of birational surface maps
Periodicities in linear fractional recurrences: Degree growth of birational surface maps
复制标题
线性分数递推的周期性：双有理表面图的度增长
DOI：
10.1307/mmj/1163789919
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发表时间：
2005
影响因子：
0.9
通讯作者：
Kyounghee Kim
中科院分区：
文献类型：
--
作者：
Eric Bedford;Kyounghee Kim
我们考虑由线性分式映射给出的所有两步递归（差分方程）的集合。这些给出了平面的双有理映射。我们确定了这些双有理映射的度增长。我们发现这个族中的所有映射都是周期性的。这也导致新的表面自同构与正熵。
We consider the set of all 2-step recurrences (difference equations) that are given by linear fractional maps. These give birational maps of the plane. We determine the degree growth of these birational maps. We find the all the maps in this family that are periodic. This also leads to new surface automorphisms with positive entropy.