Green measures for Markov processes

IF 0.2 Q4 MATHEMATICS

Methods of Functional Analysis and Topology Pub Date : 2020-06-12 DOI:10.31392/mfat-npu26_3.2020.05

Kondratiev, G. Yuri, Da Silva, L. Jos'e

引用次数: 6

Abstract

In this paper we study Green measures of certain classes of Markov processes. In particular Brownian motion and processes with jump generators with different tails. The Green measures are represented as a sum of a singular and a regular part given in terms of the jump generator. The main technical question is to find a bound for the regular part.

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马尔可夫过程的绿色度量

本文研究了一类马尔可夫过程的格林测度。特别是布朗运动和带有不同尾部的跳跃发生器的过程。格林测度用跳跃发生器给出的奇异部分和正则部分的和来表示。主要的技术问题是找到规则部分的边界。

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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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.