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First-passage percolation on ladder-like graphs with heterogeneous exponential times.
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
2011 (English)Report (Other academic)
Abstract [en]

We determine the asymptotic speed of the first-passage percolation process on some ladder-like graphs (or width-2 stretches) when the times associated with different edges are independent and exponentially distributed but not necessarily all with the same mean. The method uses a particular Markov chain associated with the first-passage percolation process and properties of its stationary distribution.

Place, publisher, year, edition, pages
2011. , 25 p.
Series
U.U.D.M, 2011:5
Keyword [en]
first-passage percolation, rate of percolation
National Category
Probability Theory and Statistics
Research subject
Mathematical Statistics
Identifiers
URN: urn:nbn:se:uu:diva-145340OAI: oai:DiVA.org:uu-145340DiVA: diva2:396175
Available from: 2011-02-09 Created: 2011-02-08 Last updated: 2011-02-14Bibliographically approved

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Renlund, Henrik

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CiteExportLink to record
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