Sublinear variance for directed last-passage percolation
نویسنده
چکیده
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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تاریخ انتشار 2009