非扩张映射的随机无限积的遍历性质

Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI:10.7862/RF.2017.10

S. Reich, A. Zaslavski

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引用次数: 1

摘要

本文研究了完全双曲空间的闭子集和凸子集的非扩张自映射的随机(无限制)无穷积的渐近性。与我们之前在这个方向上的工作相反，我们不再假设这些子集是有界的。首先建立了关于随机弱遍历性质稳定性的两个定理，然后证明了一个相关的一般结果。这些结果也扩展了我们最近关于非随机无穷积的研究。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Ergodic properties of random infinite products of nonexpansive mappings

: In this paper we are concerned with the asymptotic behavior of random (unrestricted) inﬁnite products of nonexpansive self-mappings of closed and convex subsets of a complete hyperbolic space. In contrast with our previous work in this direction, we no longer assume that these subsets are bounded. We ﬁrst establish two theorems regarding the stability of the random weak ergodic property and then prove a related generic result. These results also extend our recent investigations regarding nonrandom inﬁnite products.

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Journal of Mathematics and Applications

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