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math.PR2011★ 3 cited
Speed of the biased random walk on a Galton--Watson tree
Elie Aidekon
We give an expression of the speed of the biased random walk on a Galton--Watson tree. In the particular case of the simple random walk, we recover the result of Lyons, Pemantle an…
math.PR2011
The uniform measure on a Galton-Watson tree without the XlogX condition
elie aidekon
We consider a Galton--Watson tree with offspring distribution of finite mean. The uniform measure on the boundary of the tree is obtained by putting mass on each vertex of…