Sublinear Variance for Directed Last-Passage Percolation
Tóm tắt
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.
Tài liệu tham khảo
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