关于Heisenberg群上的次椭圆扩散的支持

IF 0.6 4区数学 Q4 STATISTICS & PROBABILITY

Alea-Latin American Journal of Probability and Mathematical Statistics Pub Date : 2021-01-27 DOI:10.30757/alea.v20-26

M. Carfagnini

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引用次数: 0

摘要

我们提供了海森堡群$\mathbb｛H｝$上次椭圆布朗运动定律的支持的一个初等证明。我们考虑了$\mathbb｛H｝$上与左不变向量场相关的控制范数，并用有限能量水平曲线的空间来描述其支持。

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On the support of a hypoelliptic diffusion on the Heisenberg group

We provide an elementary proof of the support of the law of a hypoelliptic Brownian motion on the Heisenberg group $\mathbb{H}$. We consider a control norm associated to left-invariant vector fields on $\mathbb{H}$, and describe the support in terms of the space of finite energy horizontal curves.

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来源期刊

Alea-Latin American Journal of Probability and Mathematical Statistics STATISTICS & PROBABILITY-

CiteScore

1.10

自引率

0.00%

发文量

期刊介绍： ALEA publishes research articles in probability theory, stochastic processes, mathematical statistics, and their applications. It publishes also review articles of subjects which developed considerably in recent years. All articles submitted go through a rigorous refereeing process by peers and are published immediately after accepted. ALEA is an electronic journal of the Latin-american probability and statistical community which provides open access to all of its content and uses only free programs. Authors are allowed to deposit their published article into their institutional repository, freely and with no embargo, as long as they acknowledge the source of the paper. ALEA is affiliated with the Institute of Mathematical Statistics.