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Random walks on GW-trees (transformation)

Let $(X_n)_{n\in\mathbb{N}_0}$ be a biased Random Walk on Galton-Watson tree with $\lambda\in(\lambda_c,m)$. How can I obtain the following equation: $\sum_{k=0}^{n-1}\mathbb{E}_{e_*}[|X_{k+1}|-|X_k| …
Fynn13's user avatar
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1 vote
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Random walks on GW-trees (regeneration epochs/survival set)

Let $\Gamma_0,\Gamma_1,...$ be regeneration epochs. If $(X_n)_{n \in \mathbb{N}}$ is a $\lambda$ biased random walk on a Galton-Watson tree, than the regeneration epochs are defined as: $\Gamma_0:=\in …
Fynn13's user avatar
  • 83