时变马尔可夫过程的Green测度

IF 0.2 Q4 MATHEMATICS

Methods of Functional Analysis and Topology Pub Date : 2020-08-07 DOI:10.31392/mfat-npu26_3.2021.04

J. L. D. Silva, Y. Kondratiev

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引用次数: 6

摘要

本文研究了一类随机时变马尔可夫过程的Green测度，其中随机时变是逆子。在原始Markov过程的Green测度存在的条件下，我们证明了这些过程的Green度量的存在性，并且它们是一致的。给出了分数动力学的应用。

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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Green Measures for Time Changed Markov Processes

In this paper we study Green measures for certain classes of random time change Markov processes where the random time change are inverse subordinators. We show the existence of the Green measure for these processes under the condition of the existence of the Green measure of the original Markov processes and they coincide. Applications to fractional dynamics in given.

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来源期刊

Methods of Functional Analysis and Topology MATHEMATICS-

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

25 weeks

期刊介绍： Methods of Functional Analysis and Topology (MFAT), founded in 1995, is a peer-reviewed arXiv overlay journal publishing original articles and surveys on general methods and techniques of functional analysis and topology with a special emphasis on applications to modern mathematical physics.