arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~

带随机扰动的非线性迭代的访问测度

Visitation measures for non-linear iterations with random perturbations

Andrey A. Dorogovtsev, Iryna Nishchenko

arXiv 2609.37846首次发表:更新:

AI 中文总结

本文研究带非相同分布随机扰动的非线性迭代序列,通过访问测度刻画其渐近行为,并与统计收敛性结论进行比较。

AI 中文摘要

研究了一类具有非相同分布随机扰动的非线性迭代序列。通过其访问测度描述了该序列的渐近行为,访问测度是确定性测度,可用于估计序列在其部分极限邻域内所花费的时间。将所得结果与所研究迭代序列的统计收敛性相关结论进行了比较。

英文摘要

A sequence of non-linear iterations with non-identically distributed random perturbations is studied. The asymptotic behaviour of the sequence is described via its visitations measures, which are deterministic measures that allow one to estimate the time spent by the sequence in the neighbourhoods of its partial limits. The results obtained are compared with statements regarding the statistical convergence of the sequence of iterations under study

Comments8 pages

Journal refMat.Stud.V.66, No.1(2026), 105-112, ISSN 2411-0620 (online)

DOI:10.30970/ms.66.1.105-112

论文原文

arXiv 摘要页 · PDF 原文 · HTML 原文

↑