On the number of distinct sites visited in 2D lattices
- 1 June 1982
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 76 (11), 5530-5534
- https://doi.org/10.1063/1.442908
Abstract
We present analytic results for the asymptotic behavior of Sn, the number of distinct sites visited in an n‐step random walk on two‐dimensional lattices using a combination of contour integration and saddle point techniques. We obtain results that agree very well with exact results (n?500) and numerical simulation (n∼105).Keywords
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