The Cycle Structure of Random Permutations without Macroscopic Cycles

We consider the Ewens measure on the symmetric group conditioned on the event that no cycles of macroscopic lengths occur and investigate the resulting cycle structure of random permutations without macroscopic cycles when the system size tends to infinity. This probability measure can be represente...

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Bibliographic Details
Main Author: Schäfer, Helge
Format: Others
Language:en
Published: 2018
Online Access:http://tuprints.ulb.tu-darmstadt.de/8148/1/2018Schaefer.pdf
Schäfer, Helge <http://tuprints.ulb.tu-darmstadt.de/view/person/Sch=E4fer=3AHelge=3A=3A.html> : The Cycle Structure of Random Permutations without Macroscopic Cycles. Technische Universität, Darmstadt [Ph.D. Thesis], (2018)