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Superdiffusivity in first-passage percolation |
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| Authors: | C Licea CM Newman MST Piza |
| Institution: | (1) Courant Institute of Mathematical Sciences, New York University, US;(2) Courant Institute of Mathematical Sciences, New York University, 251 Mercer St., New York, NY 10012, USA (e-mail: newman@cims.nyu.edu), US;(3) Department of Mathematics, University of California, Irvine, CA 92717, USA, US |
| Abstract: | Summary. In standard first-passage percolation on (with ), the time-minimizing paths from a point to a plane at distance are expected to have transverse fluctuations of order . It has been conjectured that with the inequality strict (superdiffusivity) at least for low and with . We prove (versions of) for all and . Received: 30 August 1995 / In revised form: 28 March 1996 |
| Keywords: | Mathematics Subject Classification (1991):60K35 82C24 82B24 82B44 |
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