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Biased random walk ...
Biased random walk in a one-dimensional percolation model
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- Axelson-Fisk, Marina, 1972 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg
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- Häggström, Olle, 1967 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematisk statistik,Department of Mathematical Sciences, Mathematical Statistics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
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(creator_code:org_t)
- Elsevier BV, 2009
- 2009
- Engelska.
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Ingår i: Stochastic processes and their Applications. - : Elsevier BV. - 0304-4149. ; 119:10, s. 3395-3415
- Relaterad länk:
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Abstract
Ämnesord
Stäng
- We consider random walk with a nonzero bias to the right, on the infinite cluster in the following percolation model: take i.i.d.\ bond percolation with retention parameter $p$ on the so-called infinite ladder, and condition on the event of having a bi-infinite path from $-\infty$ to $\infty$. The random walk is shown to be transient, and to have an asymptotic speed to the right which strictly positive or zero depending on whether the bias is below or above a certain critical value which we compute explicitly.
Ämnesord
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
Nyckelord
- percolation
- random walk
- asymptotic speed
- asymptotic speed
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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