Some probabilistic trees with algebraic roots

Olivier Bernardi; Alejandro H. Morales

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arXiv · 1501.01135

Some probabilistic trees with algebraic roots

Olivier Bernardi·Alejandro H. Morales

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Abstract

In this article we consider several probabilistic processes defining random grapha. One of these processes appeared recently in connection with a factorization problem in the symmetric group. For each of the probabilistic processes, we prove that the probability for the random graph to be a tree has an extremely simple expression, which is independent of most parameters of the problem. This raises many open questions.

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BibTeX RIS

Olivier Bernardi, Alejandro H. Morales. 2015-01-06. Some probabilistic trees with algebraic roots. https://arxiv.org/abs/1501.01135

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