On the transience and recurrence of Lamperti's random walk on Galton-Watson trees

DOI10.1007/s11425-017-9302-9zbMath1420.60108OpenAlexW2941870217MaRDI QIDQ2273764

Wenming Hong, Minzhi Liu

Publication date: 18 September 2019

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-017-9302-9

zbMATH Keywords

recurrencetransienceinhomogeneous biased random walk on the branching treetime-inhomogeneous branching process

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Cites Work

• Speed of the biased random walk on a Galton-Watson tree
• Random walks and percolation on trees
• Criteria for the recurrence or transience of stochastic process. I
• On the number of cutpoints of the transient nearest neighbor random walk on the line
• Transient nearest neighbor random walk on the line
• Transient nearest neighbor random walk and Bessel process
• A zero-one law for planar random walks in random environment
• Biased random walks on Galton-Watson trees
• A central limit theorem for biased random walks on Galton-Watson trees
• On the transience of processes defined on Galton-Watson trees
• Criteria for stochastic processes. II: Passage-time moments
• On the extinction times of varying and random environment branching processes
• Ergodic theory on Galton—Watson trees: speed of random walk and dimension of harmonic measure

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