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Extra info for A Central Limit Theorem for Biased Random Walks on Galton-Watson Trees

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Let o ∈ D1 be an arbitrary offspring of the root. 25)], the law of τ2 − τ1 under GW is identical to the law of τ1 for the walk started at v, under the measure GWv (·|To = ∞). Therefore, o o ((τ2 − τ1 )k ) = E GW (τ1k |To = ∞) = E GW o (τ k ; T = ∞) E GW o 1 o PGW (To = ∞) o (T = ∞) = P o (T = ∞). Thus, with where in the last equality we used that PGW o GW o c denoting a deterministic constant whose value may change from line to line, ∞ o ((τ2 − τ1 )k ) ≤ c E GW o (τ1k ; |X τ1 | = n, To = ∞) E GW n=1 ∞ o (Tnk ; |X τ1 | = n, To = ∞) E GW =c n=1 ∞ ≤c o o (Tn2k ; To = ∞)1/2 PGW (|X τ1 | = n)1/2 E GW n=1 ∞ ≤c o (Tn2k ; To = ∞)1/2 , e−n/c E GW n=1 where the last inequality is due to the above mentioned exponential moments on |X τ1 |.

Iu. html 16. : Conceptual proofs of L log L iteria for mean behavior of branching processes. Ann. Probab. 23, 1125–1138 (1995) 17. : Ergodic theory on Galton–Watson trees: speed of random walk and dimension of harmonic measure. Ergod. Theory Dyn. Syst. 15, 593–619 (1995) 18. : Biased random walks on Galton–Watson trees. Probab. Theory Relat. Fields 106, 249–264 (1996) 19. : Harmonic moments and large deviation rates for superitical branching processes. Ann. Appl. Probab. 13, 475–489 (2003) 20. : Galton–Watson trees with the same mean have the same polar sets.

Methods Appl. Anal. 9, 345–375 (2002) 8. : Cut points and diffusive random walks in random environments. Ann. Inst. H. Poincare 39, 527–555 (2003) 9. : A transmutation formula for Markov chains. Bull Sci. Math. 109, 399–405 (1985) 10. : Large deviations for random walks on Galton–Watson trees: averaging and uncertainty. Probab. Theory Relat. Fields 122, 241–288 (2001) 11. : Random walks and electric networks. Carus Mathematical Monographs, vol. 22. Mathematical Association of America, Washington, DC (1984) 12.

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A Central Limit Theorem for Biased Random Walks on Galton-Watson Trees by Peres Y., Zeitouni O.

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