Scaling limit of the recurrent biased random walk on a Galton-Watson tree

DOI10.1007/S00440-016-0739-8zbMath1386.60288arXiv1509.07383OpenAlexW2269860976MaRDI QIDQ1682490

Loïc de Raphélis, Elie E. F. Aidekon

Publication date: 30 November 2017

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.07383

zbMATH Keywords

scaling limitrandom walkGalton-Watson tree

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)

Related Items (8)

Scaling limit of the subdiffusive random walk on a Galton-Watson tree in random environment ⋮ Local times of subdiffusive biased walks on trees ⋮ Range and critical generations of a random walk on Galton-Watson trees ⋮ Biased random walk on supercritical percolation: anomalous fluctuations in the ballistic regime ⋮ Unnamed Item ⋮ Favorite sites of randomly biased walks on a supercritical Galton-Watson tree ⋮ The heavy range of randomly biased walks on trees ⋮ Scaling limits of tree-valued branching random walks

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Central limit theorem for biased random walk on multi-type Galton-Watson trees
• The slow regime of randomly biased walks on trees
• Scaling limit of multitype Galton-Watson trees with infinitely many types
• A central limit theorem for random walk in a random environment on a marked Galton-Watson tree.
• Markov chains and stochastic stability
• Invariance principles for spatial multitype Galton-Watson trees
• Random walks and percolation on trees
• The continuum random tree. I
• Rayleigh processes, real trees, and root growth with re-grafting
• A subdiffusive behaviour of recurrent random walk in random environment on a regular tree
• On the speed of a cookie random walk
• Rate of growth of a transient cookie random walk
• Recurrence and transience of a multi-excited random walk on a regular tree
• Arbres et processus de Galton-Watson. (Trees and Galton-Watson processes)
• Random walk in a random environment and first-passage percolation on trees
• Large deviations for random walks on Galton-Watson trees: Averaging and uncertainty
• Probabilistic and fractal aspects of Lévy trees
• Biased random walks on Galton-Watson trees
• The number of generations entirely visited for recurrent random walks in a random environment
• The continuum random tree. III
• Slow movement of random walk in random environment on a regular tree
• Random real trees
• A central limit theorem for biased random walks on Galton-Watson trees
• On the convergence of supercritical general (C-M-J) branching processes
• Measure change in multitype branching
• Ergodic theory on Galton—Watson trees: speed of random walk and dimension of harmonic measure

This page was built for publication: Scaling limit of the recurrent biased random walk on a Galton-Watson tree