Einstein relation for biased random walk on Galton-Watson trees

DOI10.1214/12-AIHP486zbMath1296.60266arXiv1106.4387WikidataQ128213498 ScholiaQ128213498MaRDI QIDQ372561

Gérard Ben Arous, Ofer Zeitouni, Stefano Olla, Yue Yun Hu

Publication date: 9 October 2013

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/1106.4387

zbMATH Keywords

Galton-Watson treeEinstein relationspine representation

Mathematics Subject Classification ID

Processes in random environments (60K37) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44) Boundary theory for Markov processes (60J50)

Related Items (15)

Einstein relation for random walks in random environment ⋮ Speed of the biased random walk on a Galton-Watson tree ⋮ An invariance principle and a large deviation principle for the biased random walk on ⋮ The speed of a biased random walk on a Galton-Watson tree is analytic ⋮ Biased random walk in positive random conductances on \(\mathbb{Z}^{d}\) ⋮ Regularity of the speed of biased random walk in a one-dimensional percolation model ⋮ Lyons‐Pemantle‐Peres Monotonicity Problem for High Biases ⋮ Some results on regularity and monotonicity of the speed for excited random walks in low dimensions ⋮ Differentiability of the speed of biased random walks on Galton-Watson trees ⋮ The speed of random walk on Galton-Watson trees with vanishing conductances ⋮ Performance of the Metropolis algorithm on a disordered tree: the Einstein relation ⋮ Biased random walks on random graphs ⋮ Harmonic measure for biased random walk in a supercritical Galton-Watson tree ⋮ Einstein relation for random walk in a one-dimensional percolation model ⋮ Einstein relation and linear response in one-dimensional Mott variable-range hopping

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