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- W2793301211 abstract "Consider a branching random walk, where the underlying branching mechanism is governed by a Galton–Watson process and the migration of particles by a simple random walk in Zd. Denote by Zn(z) the number of particles of generation n located at site z∈Zd. We give the second order asymptotic expansion for Zn(z). The higher order expansion can be derived by using our method here. As a by-product, we give the second order expansion for a simple random walk on Zd, which is used in the proof of the main theorem and is of independent interest." @default.
- W2793301211 created "2018-03-29" @default.
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- W2793301211 date "2018-12-01" @default.
- W2793301211 modified "2023-10-15" @default.
- W2793301211 title "A second order asymptotic expansion in the local limit theorem for a simple branching random walk in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=mml1 display=inline overflow=scroll altimg=si1.gif><mml:msup><mml:mrow><mml:mi mathvariant=double-struck>Z</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msup></mml:math>" @default.
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- W2793301211 doi "https://doi.org/10.1016/j.spa.2018.01.005" @default.
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