Sublinear Variance for Directed Last-Passage Percolation
نویسندگان
چکیده
منابع مشابه
Sublinear variance for directed last-passage percolation
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 ran...
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Let 0 < a < b < ∞, and for each edge e of Zd let ωe = a or ωe = b, each with probability 1/2, independently. This induces a random metric distω on the vertices of Z d, called first passage percolation. We prove that for d > 1 the distance distω(0, v) from the origin to a vertex v, |v| > 2, has variance bounded by C |v|/ log |v|, where C = C(a, b, d) is a constant which may only depend on a, b a...
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ژورنال
عنوان ژورنال: Journal of Theoretical Probability
سال: 2010
ISSN: 0894-9840,1572-9230
DOI: 10.1007/s10959-010-0315-6