Cycle lengths of θ-biased random permutations

Consider a probability distribution on the permutations of n elements. If the probability of each permutation is proportional to θK, where K is the number of cycles in the permutation, then we say that the distribution generates a θ-biased random permutation. A random permutation is a special θ-bias...

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Bibliographic Details
Main Author: Shi, Tongjia
Format: Others
Published: Scholarship @ Claremont 2014
Subjects:
Online Access:http://scholarship.claremont.edu/hmc_theses/65
http://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1054&context=hmc_theses