Sublinear variance for directed last-passage percolation

B. T. Graham

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arXiv · 0909.1352

Sublinear variance for directed last-passage percolation

B. T. Graham

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Abstract

A range of first-passage percolation type models are believed to demonstrate the related properties of sublinear variance and superdiffusivity. We show that directed last-passage percolation with Gaussian vertex weights has a sublinear variance property. We also consider other vertex weight distributions. Corresponding results are obtained for the ground state of the `directed polymers in a random environment' model.

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B. T. Graham. 2010-09-11. Sublinear variance for directed last-passage percolation. https://arxiv.org/abs/0909.1352

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