# A proof of the Lyons-Pemantle-Peres monotonicity conjecture for high biases

@inproceedings{Arous2011APO, title={A proof of the Lyons-Pemantle-Peres monotonicity conjecture for high biases}, author={G{\'e}rard Ben Arous and Alexander Fribergh and Vladas Sidoravicius}, year={2011} }

- Published 2011

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## A monotonicity property for random walk in a partially random environment

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CITES BACKGROUND

HIGHLY INFLUENCED

## Some results on regularity and monotonicity of the speed for excited random walk in low dimensions

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CITES METHODS

## Phase Transition for the Speed of the Biased Random Walk on the Supercritical Percolation Cluster

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CITES BACKGROUND