We consider the critical Galton-Watson branching process a special form and possibly with the infinite variance the number of descendants of one particle. Local limit theorem for such process proved.
| Mualliflar | Khusanbaev, Ya.M. |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashriyot | Ўзбекистон Республикаси ФА Математика институти |
| ISSN | 2010-7269 |
| Nashr sanasi | 2026-07-02 |
| Jild | 70 |
| Son | 2 |
| Betlar | 145-150 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.29229/uzmj.2026-2-17 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.29229/uzmj.2026-2-17 · Maqolaning asl sahifasi
Critical Galton-Watson branching process, generation function, local limit theorem
| APA | Khusanbaev, Ya.M. (2026). Limit theorem for one scheme of particle evolution according to the critical Galton-Watson branching processes.. O‘zbekiston matematika jurnali, 70(2), 145-150. https://doi.org/10.29229/uzmj.2026-2-17 |
|---|---|
| GOST (OAK) | Khusanbaev, Ya.M. Limit theorem for one scheme of particle evolution according to the critical Galton-Watson branching processes. // O‘zbekiston matematika jurnali. – 2026. – T. 70, № 2. – P. 145-150. – DOI: 10.29229/uzmj.2026-2-17. |
| MLA | Khusanbaev, Ya.M. “Limit theorem for one scheme of particle evolution according to the critical Galton-Watson branching processes..” O‘zbekiston matematika jurnali, 70(2), 145-150, 2026. https://doi.org/10.29229/uzmj.2026-2-17 |
| Chicago | Khusanbaev, Ya.M. “Limit theorem for one scheme of particle evolution according to the critical Galton-Watson branching processes..” O‘zbekiston matematika jurnali, 70(2), 145-150 (2026). https://doi.org/10.29229/uzmj.2026-2-17 |
| Harvard | Khusanbaev, Ya.M (2026) ‘Limit theorem for one scheme of particle evolution according to the critical Galton-Watson branching processes.’, O‘zbekiston matematika jurnali, 70(2), 145-150. https://doi.org/10.29229/uzmj.2026-2-17 |
| BibTeX | @article{khusanbaevyam2026,
title = {Limit theorem for one scheme of particle evolution according to the critical Galton-Watson branching processes.},
author = {Khusanbaev, Ya.M.},
journal = {O‘zbekiston matematika jurnali},
year = {2026},
volume = {70},
number = {2},
pages = {145-150},
doi = {10.29229/uzmj.2026-2-17},
url = {https://doi.org/10.29229/uzmj.2026-2-17}
} |
Boshqa maqola uchun iqtibos tayyorlash
This article investigates two-dimensional integrals involving singularities and multiplicative compositions. The main focus is on deriving lower and upper bounds under various assumptions on the primary function…
This paper investigates an inverse problem for a system of mixed-type second-order differential equations with a variable time direction. The problem involves finding the unknown right-hand side functions from the…
At present the fundamental solutions of the multidimensional singular elliptic equation are known and they are expressed through the well-known Lauricella function $F_A^{(n)}$, the number of variables of which is equal…
Catalan-Mihailescu Theorem states that the only case of difference between two consecutive powers equals 1 is $3^2 -2^3$. This article provides some elementary analyses of integer powers, and proves in that light…
It is established that any algorithmic representation of any field in a signature with an additive inverse operation that has a nontrivial enumerable subset is negative. In this case, computably and enumerably generated…
O‘zbekiston matematika jurnali — barcha maqolalar · 2026-yil arxivi
This article presents the results of 2018-2023, such as biological diversity, inter-landscape distribution characteristics, density,and number of straggly insects identified from natural and anthropogenic areas of…
This article observational data on the species composition, distribution, population, density, and seasonal damage caused causedby herbivorus bugs. Observationes were carried out in April and September 2021. When…
In the article, the research fields of some species belonging to Paeonia, their significance in human life, adaptation features tovarious ecological conditions are highlighted, and the ecologist groups and other…
This article studies the number of species, population density of terrestrial mollusks of the Topalangdarya basin, located in theSurkhandarya region of Uzbekistan, in various altitudinal regions and biotopes and…
This article sheds light on changes in biomass formation and antimicrobial activity against test pathogenic strains under theinfluence of epigenetic modifiers and elicitors of the endophytic fungus Penicillium…
Shahimardonsoy covered issues such as the soil in the river basin and measures to increase its condition, salinity and fertility, theflora and fauna present in the basin landscape and their conservation.