@article{eprints1183,
           pages = {R2029--R2032},
       publisher = {American Physical Society},
           month = {March},
           title = {Optimal path and directed percolation},
            year = {1996},
          author = {Paolo Rios and Guido Caldarelli and Amos Maritan and Flavio Seno},
         journal = {Physical Review E},
          number = {3},
          volume = {53},
        abstract = {An efficient transfer matrix technique is introduced to study directed optimal paths in two and three dimensions. The roughness exponent {\ensuremath{\zeta}} is 0.6325{$\pm$}0.0007 for the two-dimensional case and {\ensuremath{\zeta}}=0.555{$\pm$}0.008 for the three-dimensional one, in agreement with the recent conjecture {\ensuremath{\zeta}}={\ensuremath{\nu}}?/{\ensuremath{\nu}}?, where {\ensuremath{\nu}}? and {\ensuremath{\nu}}? are the correlation length exponents of directed percolation. Exactly solvable examples are also analyzed.},
        keywords = {PACS: 05.40.+j, 02.50.-r
},
             url = {http://eprints.imtlucca.it/1183/}
}