一类可分Markov映射的迭代  

Iteration of a Class of Separable Markov Mappings

作　　者：李倪洲 赵思颐 张佳玲 Li Nizhou;Zhao Siyi;Zhang Jialing(School of Mathematics,Southwest Jiaotong University,Chengdu 611756)

机构地区：[1]西南交通大学数学学院,成都611756

出　　处：《数学物理学报(A辑)》2025年第2期321-333,共13页Acta Mathematica Scientia

基　　金：中央高校基本科研业务费专项资金(202310613061)。

摘　　要：迭代是同一种运算的简单重复,但对多项式这样的简单映射其迭代的计算都是复杂的.该文研究了一类特殊的非单调映射,即Markov映射的迭代,分别给出具有一个、两个和多个非单调点的映射的迭代及其具体表达式.Iteration is a simple repetition of the same operation.However,it may be complex in some simple mappings such as polynomial mappings.In this paper,we discuss the iteration of a special class of nonmonotonic mappings called Markov mappings,and give the concrete expressions of iteration of the mappings which have either one,or two,or finitely many nonmonotonic points respectively.

关 键 词：迭代 Markov映射 严格逐段单调映射 不动点 

分 类 号：O171[理学—数学]