Scaling limit and ageing for branching random walk in Pareto environment

DOI10.1214/17-AIHP839zbMath1401.60183arXiv1602.08997MaRDI QIDQ1621702

Matthew I. Roberts, Marcel Ortgiese

Publication date: 9 November 2018

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.08997

zbMATH Keywords

random environmentparabolic Anderson modelintermittencybranching random walk

Mathematics Subject Classification ID

Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (2)

Particle systems with coordination ⋮ The Bouchaud-Anderson model with double-exponential potential

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Moment asymptotics for branching random walks in random environment
• Localisation and ageing in the parabolic Anderson model with Weibull potential
• One-point localization for branching random walk in Pareto environment
• Intermittency for branching random walk in Pareto environment
• Complete localisation and exponential shape of the parabolic Anderson model with Weibull potential field
• Parabolic problems for the Anderson model. I: Intermittency and related topics
• A two cities theorem for the parabolic Anderson model
• Mass concentration and aging in the parabolic Anderson model with doubly-exponential tails
• Ageing in the parabolic Anderson model
• Weak and almost sure limits for the parabolic anderson model with heavy tailed potentials
• Shape and local growth for multidimensional branching random walks in random environment

This page was built for publication: Scaling limit and ageing for branching random walk in Pareto environment