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Exchangeable Random Ordered Trees by Positive Definite Functions

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Abstract

We prove that the set of exchangeable random totally ordered trees is a Bauer simplex whose extreme points are the generalized paint-box processes. The method is based on semigroups, analogous to Hirth and Ressel,(2, 3) and is readily also applied to inverse trees.

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Authors and Affiliations

  1. Institute of Mathematics, Faculty of Aerospace Engineering 1, Universität der Bundeswehr München, 85577, Neubiberg, Germany

    Ulrich Hirth

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  1. Ulrich Hirth
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Hirth, U. Exchangeable Random Ordered Trees by Positive Definite Functions. Journal of Theoretical Probability 16, 339–344 (2003). https://doi.org/10.1023/A:1023514425845

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