Ensemble Averages of Assorted Log-Gas Models

dc.contributor.advisor	Sinclair, Christopher
dc.contributor.author	Wolff, Elisha
dc.date.accessioned	2022-10-04T19:28:52Z
dc.date.available	2022-10-04T19:28:52Z
dc.date.issued	2022-10-04
dc.description.abstract	We use techniques in the shuffle and exterior algebras to present the partition functions for several log-gas models in terms of either the Hyperpfaffian or the Berezin integral of an appropriate alternating tensor. Our methods generalize the de Bruijn integral identities from classical beta-ensembles (beta=1,2,4) to iterated integrals of more general determinantal integrands, such as those arising from multicomponent and constellation ensembles. In the latter case, adjusting the distances between parallel lines or concentric circles also gives an interpolation between the limiting ensembles, such as one-dimensional beta-ensembles with beta=K and beta=K^2.	en_US
dc.identifier.uri	https://hdl.handle.net/1794/27555
dc.language.iso	en_US
dc.publisher	University of Oregon
dc.rights	All Rights Reserved.
dc.subject	Berezin Integral	en_US
dc.subject	Confluent Vandermonde	en_US
dc.subject	Hyperpfaffian	en_US
dc.subject	Partition Function	en_US
dc.subject	Pfaffian	en_US
dc.subject	Wronskian	en_US
dc.title	Ensemble Averages of Assorted Log-Gas Models
dc.type	Electronic Thesis or Dissertation
thesis.degree.discipline	Department of Mathematics
thesis.degree.grantor	University of Oregon
thesis.degree.level	doctoral
thesis.degree.name	Ph.D.

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