Sublinear variance for directed last-passage percolation

Details Sublinear variance for directed last-passage percolation Sublinear variance for directed last-passage percolation

2009-09-07

arxiv.org/abs/0909.1352v3

Mathematics

Probability

Revised version. Accepted: Journal of Theoretical Probability

Scientific paper

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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