A quenched central limit theorem for biased random walks on supercritical Galton–Watson trees
2018 ◽
Vol 55
(2)
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pp. 610-626
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Keyword(s):
AbstractIn this paper we prove a quenched functional central limit theorem for a biased random walk on a supercritical Galton–Watson tree with leaves. This extends a result of Peres and Zeitouni (2008) where the case without leaves was considered. A conjecture of Ben Arous and Fribergh (2016) suggests an upper bound on the bias which we observe to be sharp.
2016 ◽
Vol 26
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pp. 3659-3698
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pp. 4892-4909
2016 ◽
Vol 126
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pp. 1206-1225
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pp. 373-420
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pp. 651-696
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Vol 53
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pp. 1178-1192
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