Complete Left Tail Asymptotic for the Density of Branching Processes in the Schröder Case-Reference-Cited by-同舟云学术

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Complete Left Tail Asymptotic for the Density of Branching Processes in the Schröder Case

Published:2024-06-18 Issue:4 Volume:30 Page:
ISSN:1069-5869
Container-title:Journal of Fourier Analysis and Applications
language:en
Short-container-title:J Fourier Anal Appl

Author:

Kutsenko Anton A.

Abstract

AbstractFor the density of Galton-Watson processes in the Schröder case, we derive a complete left tail asymptotic series consisting of power terms multiplied by periodic factors.

Funder

Katholische Universität Eichstätt-Ingolstadt

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s00041-024-10096-w.pdf

Reference19 articles.

1. Addario-Berry, L., Devroye, L., Janson, S.: Sub-gaussian tail bounds for the width and height of conditioned Galton-Watson trees. Ann. Probab. 41, 1072–1087 (2013)

2. Biggings, J.D., Bingham, N.H.: Large deviations in the supercritical branching process. Adv. Appl. Prob. 25, 757–772 (1993)

3. Bingham, N.H.: On the limit of a supercritical branching process. J. Appl. Probab. 25, 215–228 (1988)

4. Costin, O., Giacomin, G.: Oscillatory critical amplitudes in hierarchical models and the Harris function of branching processes. J. Stat. Phys. 150, 471–486 (2013)

5. Derrida, B., Itzykson, C., Luck, J.M.: Oscillatory critical amplitudes in hierarchical models. Commun. Math. Phys. 94, 115–132 (1984)

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