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:
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页码：249 / 261
页数：14
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