The speed of a biased walk on a Galton-Watson tree without leaves is monotonic with respect to progeny distributions for high values of bias

DOI10.1214/13-AIHP573zbMath1314.60160arXiv1212.3004MaRDI QIDQ2261601

Behzad Mehrdad, Lingjiong Zhu, Sanchayan Sen

Publication date: 9 March 2015

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/1212.3004

zbMATH Keywords

random environmentrandom walkGalton-Watson treestochastic domination

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (2)

The speed of a biased random walk on a Galton-Watson tree is analytic ⋮ Biased random walks on random graphs

Cites Work

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• Speed of the biased random walk on a Galton-Watson tree
• Random walks and percolation on trees
• Large deviation rates for branching processes. I: Single type case
• Conceptual proofs of \(L\log L\) criteria for mean behavior of branching processes
• Biased random walks on Galton-Watson trees
• Ergodic theory on Galton—Watson trees: speed of random walk and dimension of harmonic measure
• Lyons‐Pemantle‐Peres Monotonicity Problem for High Biases
• A Limit Theorem for Multidimensional Galton-Watson Processes

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