The Strange Logic of Galton-Watson Trees

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Microsoft Research
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Published on ● Video Link: https://www.youtube.com/watch?v=C2USgy99hJY


Duration: 1:02:55
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The Galton-Watson tree is a basic demographic model. The classic equation for a Galton-Watson tree being infinite has two solutions, only one of which is "correct." What about other properties. (Example: Some node has precisely two children.) We show that when the property is what is called first order than there is a unique solution to the corresponding equation. We consider "tree automata" and the situation for monadic second order properties.



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