Random walks on random systems: Eigenspectrum of large Markov matrices
Physical Review E, ISSN: 1063-651X, Vol: 47, Issue: 3, Page: R1463-R1466
1993
- 10Citations
- 2Captures
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
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Article Description
We study the eigenvalue spectrum of the hopping transition probability matrix W for the random walk in randomly diluted clusters, both in critical and weak dilution. We obtain the relations between the spectrum in the limit where the eigenvalue λ→1 and the long-time behavior of the velocity autocorrelation function and mean probability of the random walk to return to the starting point after t steps by scaling and by numerical diagonalization of W. © 1993 The American Physical Society.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=0000133240&origin=inward; http://dx.doi.org/10.1103/physreve.47.r1463; http://www.ncbi.nlm.nih.gov/pubmed/9960252; https://link.aps.org/doi/10.1103/PhysRevE.47.R1463; http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevE.47.R1463/fulltext; http://link.aps.org/article/10.1103/PhysRevE.47.R1463
American Physical Society (APS)
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