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arXiv · 2412.19752

A random walk among random graphs

Nicolas Curien
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Abstract

Lecture notes of a master course given at Orsay between 2019-2024. Topics covered include Part I: One-dimensional random walks, cycle lemma and Bienaym\'e--Galton--Watson random trees. Part II: Erd\"os--R\'enyi random graphs, three proofs of the emergence of the giant component. Part III: Random recursive tree, random permutations and continuous time embedding techniques. Intended for publication.

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Nicolas Curien. 2024-12-27. A random walk among random graphs. https://arxiv.org/abs/2412.19752

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