Coalescing Particles on an Interval

Michael Larsen () and Russell Lyons ()
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Michael Larsen: Indiana University
Russell Lyons: Indiana University

Journal of Theoretical Probability, 1999, vol. 12, issue 1, 201-205

Abstract: Abstract At time 0, we begin with a particle at each integer in [0, n]. At each positive integer time, one of the particles remaining in [1, n] is chosen at random and moved one to the left, coalescing with any particle that might already be there. How long does it take until all particles coalesce (at 0)?

Keywords: Coalescence; random walk; asymptotics; parallel processing (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1023/A:1021704912660

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