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BIRS Workshop Lecture Videos
Moduli spaces of q-connections and gap probabilities Knizel, Alisa
Description
We will talk about a generalized $q$-analogue of methods introduced by Arinkin and Borodin. In particular we will explain how the one-interval gap probability function for the $q$-Hahn orthogonal polynomial ensemble can be expressed through a solution of the asymmetric $q$-Painlev\'e V equation, which requires a new derivation of a $q$-difference equation of Sakai's hierarchy of type $A_{2}^{(1)}.$ Our approach is based on the analysis of $q$-connections on $\mathbf P^1$ with a particular singularity structure.
Item Metadata
| Title |
Moduli spaces of q-connections and gap probabilities
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2016-10-06T15:28
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| Description |
We will talk about a generalized $q$-analogue of methods introduced by Arinkin and Borodin. In particular we will explain how the one-interval gap probability function for the $q$-Hahn orthogonal polynomial ensemble can be expressed through a solution of the asymmetric $q$-Painlev\'e V equation, which requires a new derivation of a $q$-difference equation of Sakai's hierarchy of type $A_{2}^{(1)}.$ Our approach is based on the analysis of $q$-connections on $\mathbf P^1$ with a particular singularity structure.
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| Extent |
14 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: Massachusetts Institute of Technology
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| Series | |
| Date Available |
2017-04-06
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0343500
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Graduate
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International