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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Convex solutions of a Schröder equation in several variables


Author: Fred M. Hoppe
Journal: Proc. Amer. Math. Soc. 64 (1977), 326-330
MSC: Primary 60J80
DOI: https://doi.org/10.1090/S0002-9939-1977-0443113-8
MathSciNet review: 0443113
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Abstract: A nonprobabilistic proof is given for the existence of the Yaglom conditional limit distribution for the subcritical multitype Galton-Watson process by using a uniqueness theorem for convex solutions of the multidimensional Schröder functional equation.


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DOI: https://doi.org/10.1090/S0002-9939-1977-0443113-8
Keywords: Subcritical multitype Galton-Watson process, Yaglom limit, Schröder equation, convexity
Article copyright: © Copyright 1977 American Mathematical Society