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- W2949085002 abstract "We develop a technique that provides a lower bound on the speed of transient random walk in a random environment on regular trees. A refinement of this technique yields upper bounds on the first regeneration level and regeneration time. In particular, a lower and upper bound on the covariance in the annealed invariance principle follows. We emphasize the fact that our methods are general and also apply in the case of once-reinforced random walk. Durrett, Kesten and Limic (2002) prove an upper bound of the form $b/(b+delta)$ for the speed on the $b$-ary tree, where $delta$ is the reinforcement parameter. For $delta>1$ we provide a lower bound of the form $gamma^2 b/(b+delta)$, where $gamma$ is the survival probability of an associated branching process." @default.
- W2949085002 created "2019-06-27" @default.
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- W2949085002 date "2009-11-02" @default.
- W2949085002 modified "2023-09-27" @default.
- W2949085002 title "Bounds on the Speed and on Regeneration Times for Certain Processes on Regular Trees" @default.
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