Qualitative theory of p-adic dynamical systems

被引：0
|
作者：
Zelenov, E. I. [1 ]
机构：
[1] RAS, Steklov Math Inst, Moscow 117901, Russia
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2014年 / 178卷 / 02期
基金：
俄罗斯基础研究基金会;
关键词：
p-adic dynamical system; ergodicity; mixing; p-adic baker's transformation;
D O I：
10.1007/s11232-014-0136-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider a class of dynamical systems over the p-adic number field: hierarchical dynamical systems. We prove a strong variant of the Poincar, theorem on the number of returns for such systems and show that hierarchical systems do not admit mixing. We describe hierarchical dynamical systems over the projective line and present an example of a nonhierarchical p-adic system that admits mixing: the p-adic baker's transformation.
引用
收藏
页码：194 / 201
页数：8
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