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Discrete mathematical modelling seminar
Seminar information archive ～04/18｜Next seminar｜Future seminars 04/19～
| Organizer(s) | Tetsuji Tokihiro, Ralph Willox |
|---|
2020/12/09
17:00-18:30 Online
This seminar will be held using Zoom. If you wish to participate, please contact R. Willox by email.
Anton DZHAMAY (University of Northern Colorado)
Gap probabilities in the Laguerre unitary ensemble and discrete Painlevé equations (English)
This seminar will be held using Zoom. If you wish to participate, please contact R. Willox by email.
Anton DZHAMAY (University of Northern Colorado)
Gap probabilities in the Laguerre unitary ensemble and discrete Painlevé equations (English)
[ Abstract ]
We use Sakai’s geometric theory of discrete Painlevé equations to study a recurrence relation that can be used to generate ladder operators for the Laguerre unitary ensemble. Using a recently proposed identification procedure for discrete Painlevé equations we show how this recurrence can be transformed into one of the standard equations on the affine D5-algebraic surface. This is a joint work with Yang Chen and Jie Hu.
We use Sakai’s geometric theory of discrete Painlevé equations to study a recurrence relation that can be used to generate ladder operators for the Laguerre unitary ensemble. Using a recently proposed identification procedure for discrete Painlevé equations we show how this recurrence can be transformed into one of the standard equations on the affine D5-algebraic surface. This is a joint work with Yang Chen and Jie Hu.
