Superdiffusivity in first-passage percolation

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• 作者：C. Licea ; C.M. Newman and M.S.T. Piza
• 关键词：Mathematics Subject Classification (1991) ; 60K35 ; 82C24 ; 82B24 ; 82B44
• 刊名：Probability Theory and Related Fields
• 出版年：1996
• 出版时间：December 1996
• 年：1996
• 卷：106
• 期：4
• 页码：559-591
• 全文大小：372 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Probability Theory and Stochastic Processes
  Mathematical and Computational Physics
  Quantitative Finance
  Mathematical Biology
  Statistics for Business, Economics, Mathematical Finance and Insurance
  Operation Research and Decision Theory
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-2064

文摘

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 .