Author:
Brown Mark,Peköz Erol A.,Ross Sheldon M.
Abstract
We study a model arising in chemistry where n elements numbered 1, 2, …, n are randomly permuted and if i is immediately to the left of i + 1 then they become stuck together to form a cluster. The resulting clusters are then numbered and considered as elements, and this process keeps repeating until only a single cluster is remaining. In this article we study properties of the distribution of the number of permutations required.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Cited by
2 articles.
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1. On Finite Markov Chain Imbedding and Its Applications;Methodology and Computing in Applied Probability;2011-12-04
2. DISCONTINUOUS POINT PROCESSES FOR THE ANALYSIS OF REPAIRABLE UNITS;International Journal of Reliability, Quality and Safety Engineering;1999-12