A note on Riemann–Liouville processes

Yuqiang Li

doi:10.1016/j.jmaa.2018.03.008

A note on Riemann–Liouville processes

Yuqiang Li

School of Statistics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this note, it is proved that under certain conditions, Riemann–Liouville processes can arise from the temporal structures of the functional fluctuation limits of the occupation times of a type of spatial inhomogeneous branching particle system with infinite variances.

Original language	English
Pages (from-to)	496-505
Number of pages	10
Journal	Journal of Mathematical Analysis and Applications
Volume	463
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2018.03.008
State	Published - 15 Jul 2018

Keywords

Branching particle system
Functional limit theorem
Occupation time
Riemann–Liouville process

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10.1016/j.jmaa.2018.03.008

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title = "A note on Riemann–Liouville processes",

abstract = "In this note, it is proved that under certain conditions, Riemann–Liouville processes can arise from the temporal structures of the functional fluctuation limits of the occupation times of a type of spatial inhomogeneous branching particle system with infinite variances.",

keywords = "Branching particle system, Functional limit theorem, Occupation time, Riemann–Liouville process",

author = "Yuqiang Li",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",

year = "2018",

month = jul,

day = "15",

doi = "10.1016/j.jmaa.2018.03.008",

language = "英语",

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AU - Li, Yuqiang

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AB - In this note, it is proved that under certain conditions, Riemann–Liouville processes can arise from the temporal structures of the functional fluctuation limits of the occupation times of a type of spatial inhomogeneous branching particle system with infinite variances.

KW - Branching particle system

KW - Functional limit theorem

KW - Occupation time

KW - Riemann–Liouville process

UR - https://www.scopus.com/pages/publications/85044351630

U2 - 10.1016/j.jmaa.2018.03.008

DO - 10.1016/j.jmaa.2018.03.008

M3 - 文章

AN - SCOPUS:85044351630

SN - 0022-247X

VL - 463

SP - 496

EP - 505

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

A note on Riemann–Liouville processes

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Keywords

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