Directed random walks on directed percolation clusters

Xiao Hong Wang, Ehud Perlsman, Shlomo Havlin

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


The subject of random walks on percolation clusters, known as the "ant in the labyrinth" problem, has drawn quite intensive attention in the physical literature. However, in spite of the numerous efforts, no simple connection was found between the static and dynamical exponents of percolation, though the Alexander-Orbach conjecture comes close to this goal. This paper shows that such a simple connection does exist in the special case of directed random walks on directed percolation clusters.

Original languageEnglish
Article number050101
Pages (from-to)050101/1-050101/4
JournalPhysical Review E
Issue number5 1
StatePublished - May 2003
Externally publishedYes


Dive into the research topics of 'Directed random walks on directed percolation clusters'. Together they form a unique fingerprint.

Cite this