離散数理モデリングセミナー

過去の記録 ~04/30次回の予定今後の予定 05/01~

担当者 時弘哲治, ウィロックス ラルフ

2025年05月02日(金)

16:45-17:45   数理科学研究科棟(駒場) 126号室
Anton Dzhamay 氏 (BIMSA, Beijing)
On a positivity property of a solution of discrete Painlevé equations (English)
[ 講演概要 ]
We consider a particular example of a discrete Painlevé equation arising from a construction of quantum minimal surfaces by Arnlind, Hoppe and Kontsevich. Observing that this equation corresponds to a very special choice of parameters (root variables) in the Space of Initial Conditions for the differential Painlevé V equation, we show that some explicit special function solutions, written in terms of modified Bessel functions, for d-PV, yield the unique positive solution for some initial value problem for the discrete Painlevé equation needed for quantum minimal surfaces. This is a joint work with Peter Clarkson, Andy Hone, and Ben Mitchell.