On the maximal displacement of catalytic branching random walk

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On the maximal displacement of catalytic branching random walk. / Bulinskaya, Ekaterina Vladimirovna.

In: Siberian Electronic Mathematical Reports, Vol. 17, 2020, p. 1088-1099.

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Harvard

Bulinskaya, EV 2020, 'On the maximal displacement of catalytic branching random walk', Siberian Electronic Mathematical Reports, vol. 17, pp. 1088-1099. https://doi.org/10.33048/semi.2020.17.082

APA

Bulinskaya, E. V. (2020). On the maximal displacement of catalytic branching random walk. Siberian Electronic Mathematical Reports, 17, 1088-1099. https://doi.org/10.33048/semi.2020.17.082

Vancouver

Bulinskaya EV. On the maximal displacement of catalytic branching random walk. Siberian Electronic Mathematical Reports. 2020;17:1088-1099. doi: 10.33048/semi.2020.17.082

Author

Bulinskaya, Ekaterina Vladimirovna. / On the maximal displacement of catalytic branching random walk. In: Siberian Electronic Mathematical Reports. 2020 ; Vol. 17. pp. 1088-1099.

BibTeX

@article{b40b4cdc3e194abb902d14e5470f3af0,

title = "On the maximal displacement of catalytic branching random walk",

abstract = "We study the distribution of the maximal displacement of particle positions for the whole time of the existence of population in the model of critical and subcritical catalytic branching random walk on ℤ. In particular, we prove that in the case of simple symmetric random walk on ℤ, the distribution of the maximal displacement has a “heavy”tail{\textquoteright}, decreasing as a function of the power 1/2 or 1 when the branching process is critical or subcritical, respectively. These statements describe the effects which had not arisen before in related studies on the maximal displacement of critical and subcritical branching random walks on ℤ.",

keywords = "catalytic branching random walk, critical regime, maximal displacement, subcritical regime, “heavy”tails, {"}heavy{"}tails, SPREAD",

author = "Bulinskaya, {Ekaterina Vladimirovna}",

year = "2020",

doi = "10.33048/semi.2020.17.082",

language = "English",

volume = "17",

pages = "1088--1099",

journal = "Сибирские электронные математические известия",

issn = "1813-3304",

publisher = "Sobolev Institute of Mathematics",

}

RIS

TY - JOUR

T1 - On the maximal displacement of catalytic branching random walk

AU - Bulinskaya, Ekaterina Vladimirovna

PY - 2020

Y1 - 2020

N2 - We study the distribution of the maximal displacement of particle positions for the whole time of the existence of population in the model of critical and subcritical catalytic branching random walk on ℤ. In particular, we prove that in the case of simple symmetric random walk on ℤ, the distribution of the maximal displacement has a “heavy”tail’, decreasing as a function of the power 1/2 or 1 when the branching process is critical or subcritical, respectively. These statements describe the effects which had not arisen before in related studies on the maximal displacement of critical and subcritical branching random walks on ℤ.

AB - We study the distribution of the maximal displacement of particle positions for the whole time of the existence of population in the model of critical and subcritical catalytic branching random walk on ℤ. In particular, we prove that in the case of simple symmetric random walk on ℤ, the distribution of the maximal displacement has a “heavy”tail’, decreasing as a function of the power 1/2 or 1 when the branching process is critical or subcritical, respectively. These statements describe the effects which had not arisen before in related studies on the maximal displacement of critical and subcritical branching random walks on ℤ.

KW - catalytic branching random walk

KW - critical regime

KW - maximal displacement

KW - subcritical regime

KW - “heavy”tails

KW - "heavy"tails

KW - SPREAD

UR - http://www.scopus.com/inward/record.url?scp=85099224081&partnerID=8YFLogxK

U2 - 10.33048/semi.2020.17.082

DO - 10.33048/semi.2020.17.082

M3 - Article

AN - SCOPUS:85099224081

VL - 17

SP - 1088

EP - 1099

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

ER -

ID: 27492661