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Some properties of stable snakes

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arxiv 2403.15275 v1 pith:SAC4V3MQ submitted 2024-03-22 math.PR

Eleanor Archer , Ariane Carrance , Laurent Ménard This is my paper · ORCID
classification math.PR
keywords snakesomeestimatesstabletreearoundassociatedbrownian
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We prove some technical results relating to the Brownian snake on a stable L\'evy tree. This includes some estimates on the range of the snake, estimates on its occupation measure around its minimum and also a proof of the fact that the snake and the height function of the associated tree have no common increase points.

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  1. The scaling limit of planar maps with large faces

    math.PR 2025-01 accept novelty 8.0 of 10

    Large Boltzmann planar maps with a stable exponent alpha converge in the Gromov-Hausdorff-Prokhorov sense to an explicit random compact metric space S_alpha of Hausdorff dimension 2 alpha.

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