Convex solutions of a Schröder equation in several variables

Hoppe, Fred M.

doi:10.1090/S0002-9939-1977-0443113-8

Convex solutions of a Schröder equation in several variables
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by Fred M. Hoppe

Proc. Amer. Math. Soc. 64 (1977), 326-330

DOI: https://doi.org/10.1090/S0002-9939-1977-0443113-8

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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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