On the Satic and Dynamic Points of View for Certain Random Walks in Random Environment

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A central limit theorem for biased random walks on Galton–Watson trees (2006, methodology): “measure GW, the process {(|X⌊nt⌋| − nvt)/ √ σ2n}t≥0 converges in distribution to a Brownian motion. Proof of Theorem 3: Our argument is based on the technique introduced by Bolthausen and Sznitman in [5], as developed in [6]. Let Bn t = Bn t (|X|·) = (|X⌊nt⌋| − ntv)/ √ n, and let Bn t (|X|·) denote ”