一类可分 Markov 映射的迭代

Abstract

Abstract:

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.

Key words: iteration, Markov mapping, piecewise monotone mapping, fixed point

CLC Number:

O171

Li Nizhou,Zhao Siyi,Zhang Jialing. Iteration of a Class of Separable Markov Mappings[J].Acta mathematica scientia,Series A, 2025, 45(2): 321-333.

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Iteration of a Class of Separable Markov Mappings

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