A pairwise independent random sampling method in the ring of $p$-adic integers
A pairwise independent random sampling method in the ring of $p$-adic integers
复制标题
$p$-adic整数环中的成对独立随机抽样方法
DOI：
10.18910/58869
复制
发表时间：
2016
期刊：
影响因子：
--
通讯作者：
H. Matsumoto
中科院分区：
文献类型：
--
作者：
H. Kaneko;H. Matsumoto
摘要 对于p进整数环，p为定素数，尚未提出任何能起到类似Weyl无理旋转作用的序列。我们将看到，修改后的 p-adic van der Corput 序列为我们提供了环中 Weyl 无理旋转的合理对应部分。我们将在环上提出一种与 Sugita 和 Tak anobu 提出的类似的随机 Weyl 采样。在建立对应体的过程中，将提到一种基于函数的采样方法，该函数的域在可加性方面自然扩展到p进数域。
Abstract For the ring ofp-adic integers,p being a fixed prime, any sequence which plays a similar role to Weyl’s irrational rotation has not been pro posed yet. We will see that a modifiedp-adic van der Corput sequence provides us with a reasonable c ounterpart of Weyl’s irrational rotation in the ring. We will pr esent a similar random Weyl sampling on the ring to the one proposed by Sugita and Tak anobu. In the process of establishing the counterpart, a sampling method bas ed on a function with naturally extended domain to the field of p-adic numbers in terms of the additive characters will be mentioned.