Some Probabilistic Trees with Algebraic Roots

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Show simple item record Bernardi, Olivier Morales, Alejandro M. 2018-02-16T18:51:39Z 2018-02-16T18:51:39Z 2016
dc.identifier.citation Bernardi, Olivier, and Alejandro H. Morales. "Some Probabilistic Trees with Algebraic Roots." 2015.
dc.identifier.issn 1077-8926
dc.description Published version can be found on Electronic Journal of Combinatorics
dc.description.abstract We consider several probabilistic processes defining a random graph. One of these processes appeared recently in connection with a factorization problem in the symmetric group. For each process, we prove that the probability for the random graph to be a tree has an unexpectedly simple expression, which is independent of most parameters of the problem. This raises many open questions.
dc.description.sponsorship Supported by NSF grant DMS-1308441, and ERC ExploreMaps and support from a CRM-ISM postdoctoral fellowship.
dc.language English
dc.language.iso eng
dc.publisher Electronic Journal of Combinatorics
dc.rights Copyright by the authors 2016
dc.subject Branched polymers
dc.subject Random graphs
dc.subject Random trees
dc.subject Matrix-tree theorem
dc.title Some Probabilistic Trees with Algebraic Roots
dc.type Article
dc.contributor.department Department of Mathematics
dc.description.esploro yes

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