Collatz map as a non-singular transformation

被引：0

作者：

Assani, I. ^{[1
]}

机构：

[1] Univ N Carolina, Dept Math, Chapel Hill, NC 27599 USA

来源：

STUDIA MATHEMATICA | 2024年 / 275卷 / 03期

关键词：

Collatz map; non-singular transformation; Hopf decomposition; power bounded transformation;

D O I：

10.4064/sm230913-14-12

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let T be the map defined on N = {1, 2, ...} by T(n) = n/2 if n is even and T(n) = (3n + 1)/2 if n is odd. Consider the dynamical system (N, 2N, T, mu) where mu is the counting measure. This dynamical system has the following properties:

引用

页码：249 / 261

页数：14

共 16 条

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