Term | Value | Language |
---|---|---|
dc.contributor.advisor | Sinclair, Christopher | |
dc.contributor.author | Wells, Jonathan | |
dc.date.accessioned | 2019-09-18T19:28:40Z | |
dc.date.available | 2019-09-18T19:28:40Z | |
dc.date.issued | 2019-09-18 | |
dc.identifier.uri | https://scholarsbank.uoregon.edu/xmlui/handle/1794/24923 | |
dc.description.abstract | We use combinatorial identities in the shuffle and exterior algebra to present hyperpfaffian formulations of partition functions for ß-ensembles with arbitrary probability measure when ß is a square integer. This is an analogue of the de Bruijn integral identities for the ß = 1 and ß = 4 ensembles. We also generalize several classic algebraic identities for determinants and Pfaffians to identities for Hyperpfaffians, extending the fermionic and bosonic Wick formulas which frequently arise in Quantum Field Theory. | en_US |
dc.language.iso | en_US | |
dc.publisher | University of Oregon | |
dc.rights | All Rights Reserved. | |
dc.subject | Hyperpfaffian | en_US |
dc.subject | Partition Function | en_US |
dc.subject | Pfaffian | en_US |
dc.subject | Random Matrix Theory | en_US |
dc.subject | Selberg Integral | en_US |
dc.subject | Wick Formula | en_US |
dc.title | On the Solvability of Beta-Ensembles when Beta is a Square Integer | |
dc.type | Electronic Thesis or Dissertation | |
thesis.degree.name | Ph.D. | |
thesis.degree.level | doctoral | |
thesis.degree.discipline | Department of Mathematics | |
thesis.degree.grantor | University of Oregon |