Monotonicity of the speed for biased random walk on Galton-Watson tree

Song He, Wang Longmin, Xiang Kainan

Ben Arous, Fribergh and Sidoravicius \cite{GAV2014} proved that speed of biased random walk $R{W}_{\lambda }$ on a Galton-Watson tree without leaves is strictly decreasing for $λ\leq \frac{m_…