English

Some properties of stable snakes

Probability 2024-03-25 v1

Abstract

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.

Cite

@article{arxiv.2403.15275,
  title  = {Some properties of stable snakes},
  author = {Eleanor Archer and Ariane Carrance and Laurent Ménard},
  journal= {arXiv preprint arXiv:2403.15275},
  year   = {2024}
}

Comments

35 pages

R2 v1 2026-06-28T15:30:00.995Z