Riemann-Liouville processes arising from branching particle systems

Yuqiang Li

doi:10.1142/S0219493712500220

Riemann-Liouville processes arising from branching particle systems

Yuqiang Li^*

^*Corresponding author for this work

School of Statistics

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

3 Scopus citations

Abstract

It is proved in this paper that Riemann-Liouville processes can arise from the temporal structures of the scaled occupation time fluctuation limits of the site-dependent (d, α, σ(x)) branching particle systems in the case of 1 = d < α < 2 and ∫_R σ(x)dx < ∞.

Original language	English
Article number	1250022
Journal	Stochastics and Dynamics
Volume	13
Issue number	3
DOIs	https://doi.org/10.1142/S0219493712500220
State	Published - Sep 2013

Keywords

Functional limit theorem
Riemann-Liouville process
branching particle system

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10.1142/S0219493712500220

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title = "Riemann-Liouville processes arising from branching particle systems",

abstract = "It is proved in this paper that Riemann-Liouville processes can arise from the temporal structures of the scaled occupation time fluctuation limits of the site-dependent (d, α, σ(x)) branching particle systems in the case of 1 = d < α < 2 and ∫R σ(x)dx < ∞.",

keywords = "Functional limit theorem, Riemann-Liouville process, branching particle system",

author = "Yuqiang Li",

year = "2013",

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doi = "10.1142/S0219493712500220",

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N2 - It is proved in this paper that Riemann-Liouville processes can arise from the temporal structures of the scaled occupation time fluctuation limits of the site-dependent (d, α, σ(x)) branching particle systems in the case of 1 = d < α < 2 and ∫R σ(x)dx < ∞.

AB - It is proved in this paper that Riemann-Liouville processes can arise from the temporal structures of the scaled occupation time fluctuation limits of the site-dependent (d, α, σ(x)) branching particle systems in the case of 1 = d < α < 2 and ∫R σ(x)dx < ∞.

KW - Functional limit theorem

KW - Riemann-Liouville process

KW - branching particle system

UR - https://www.scopus.com/pages/publications/84878385755

U2 - 10.1142/S0219493712500220

DO - 10.1142/S0219493712500220

M3 - 文章

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SN - 0219-4937

VL - 13

JO - Stochastics and Dynamics

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IS - 3

M1 - 1250022

ER -

Riemann-Liouville processes arising from branching particle systems

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Keywords

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