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Apparaît dans la collection : French Japanese Conference on Probability and Interactions
Luczak and Winkler (refined by Caraceni and Stauffer) showed that is it possible to create a chain of random binary trees $(T_n : n \geq 1)$ so that $T_{n}$ is uniformly distributed over the set of all binary trees with $n$ leaves and such that $T_{n+1}$ is obtained from $T_{n}$ by adding "on leaf". We show that the location where this leaf must be added is far from being uniformly distributed on $T_n$ but is concentrated on a "fractal" subset of $n^{3(2- \sqrt{3})+o(1)}$ leaves. The full multifractal spectrum of the measure in the continuous setting is computed.
Joint work with Alessandra Caraceni and Robin Stephenson.
Informations sur la vidéo
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Date de captation
08/03/2024
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Date de publication
11/03/2024
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Institut
IHES
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Langue
Anglais
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Audience
Chercheurs, Doctorants
- Format MP4
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