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A Limit Theorem for One-Dimensional Branching Wiener Processes with Point Branching Sources. / Фаддеев, Михаил Михайлович; Ибрагимов, Ильдар Абдуллович; Смородина, Наталия Васильевна.

In: Theory of Probability and its Applications, Vol. 70, No. 3, 01.10.2025, p. 341-354.

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

Harvard

Фаддеев, ММ, Ибрагимов, ИА & Смородина, НВ 2025, 'A Limit Theorem for One-Dimensional Branching Wiener Processes with Point Branching Sources', Theory of Probability and its Applications, vol. 70, no. 3, pp. 341-354. https://doi.org/10.1137/s0040585x97t992434

APA

Фаддеев, М. М., Ибрагимов, И. А., & Смородина, Н. В. (2025). A Limit Theorem for One-Dimensional Branching Wiener Processes with Point Branching Sources. Theory of Probability and its Applications, 70(3), 341-354. https://doi.org/10.1137/s0040585x97t992434

Vancouver

Фаддеев ММ, Ибрагимов ИА, Смородина НВ. A Limit Theorem for One-Dimensional Branching Wiener Processes with Point Branching Sources. Theory of Probability and its Applications. 2025 Oct 1;70(3):341-354. https://doi.org/10.1137/s0040585x97t992434

Author

Фаддеев, Михаил Михайлович ; Ибрагимов, Ильдар Абдуллович ; Смородина, Наталия Васильевна. / A Limit Theorem for One-Dimensional Branching Wiener Processes with Point Branching Sources. In: Theory of Probability and its Applications. 2025 ; Vol. 70, No. 3. pp. 341-354.

BibTeX

@article{1f1e041fcf7d452db52c549244739f1e,
title = "A Limit Theorem for One-Dimensional Branching Wiener Processes with Point Branching Sources",
abstract = "We consider a one-dimensional branching Wiener process whose branching intensity is a linear combination of delta functions minus some positive constant. We construct the corresponding semigroup of operators and establish analogues of the forward and backward Kolmogorov equations. We also prove a limit theorem.",
keywords = "Wiener process, branching process, limit theorem",
author = "Фаддеев, {Михаил Михайлович} and Ибрагимов, {Ильдар Абдуллович} and Смородина, {Наталия Васильевна}",
year = "2025",
month = oct,
day = "1",
doi = "10.1137/s0040585x97t992434",
language = "English",
volume = "70",
pages = "341--354",
journal = "Theory of Probability and its Applications",
issn = "0040-585X",
publisher = "Society for Industrial and Applied Mathematics",
number = "3",

}

RIS

TY - JOUR

T1 - A Limit Theorem for One-Dimensional Branching Wiener Processes with Point Branching Sources

AU - Фаддеев, Михаил Михайлович

AU - Ибрагимов, Ильдар Абдуллович

AU - Смородина, Наталия Васильевна

PY - 2025/10/1

Y1 - 2025/10/1

N2 - We consider a one-dimensional branching Wiener process whose branching intensity is a linear combination of delta functions minus some positive constant. We construct the corresponding semigroup of operators and establish analogues of the forward and backward Kolmogorov equations. We also prove a limit theorem.

AB - We consider a one-dimensional branching Wiener process whose branching intensity is a linear combination of delta functions minus some positive constant. We construct the corresponding semigroup of operators and establish analogues of the forward and backward Kolmogorov equations. We also prove a limit theorem.

KW - Wiener process

KW - branching process

KW - limit theorem

UR - https://www.mendeley.com/catalogue/22a3b5ef-90e5-3c98-9068-1040bc9716ed/

U2 - 10.1137/s0040585x97t992434

DO - 10.1137/s0040585x97t992434

M3 - Article

VL - 70

SP - 341

EP - 354

JO - Theory of Probability and its Applications

JF - Theory of Probability and its Applications

SN - 0040-585X

IS - 3

ER -

ID: 145295745