Backbone scaling limits for random walks on random critical trees-Reference-Cited by-同舟云学术

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Backbone scaling limits for random walks on random critical trees

Published:2024-08-01 Issue:3 Volume:60 Page:
ISSN:0246-0203
Container-title:Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
language:
Short-container-title:Ann. Inst. H. Poincaré Probab. Statist.

Author:

Ben Arous Gérard¹,Cabezas Manuel²,Fribergh Alexander³

Affiliation:

1. Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY 10012, USA

2. Pontificia Universidad Católica de Chile, Avenida Vicuña Mackenna 4860, Santiago, Chile

3. Université de Montréal, DMS, Pavillon André-Aisenstadt, 2920, chemin de la Tour Montréal (Québec), H3T 1J4

Publisher

Institute of Mathematical Statistics

Reference26 articles.

1. J. Pitman. The SDE solved by local times of a Brownian excursion or bridge derived from the height profile of a random tree or forest. Ann. Probab. 27 (1) (1999) 261–283.

2. S. Athreya, W. Löhr and A. Winter. Invariance principle for variable speed random walks on trees. Ann. Probab. 45 (2) (2017) 625–667.

3. G. Ben Arous, M. Cabezas and A. Fribergh. Scaling limit for the ant in a simple high-dimensional labyrinth. Probab. Theory Related Fields 174 (1–2) (2019) 553–646.

4. G. Ben Arous, M. Cabezas and A. Fribergh. Scaling limit for the ant in high-dimensional labyrinths. Comm. Pure Appl. Math. 72 (4) (2019) 669–763.

5. D. Aldous. The continuum random tree. II. An overview. In Stochastic Analysis 23–70. Durham, 1990. London Math. Soc. Lecture Note Ser. 167. Cambridge Univ. Press, Cambridge, 1991.

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