19-23 June 2023
Faculty of Physics, University of Warsaw
Europe/Warsaw timezone
Recurrence relations for the generalized Laguerre and Charlier orthogonal polynomials and discrete Painlevé equations
Presented by Dr. Anton DZHAMAY
on
19 Jun 2023
from
17:30
to
18:00
Session:
Discrete Painlevé
Content
We consider two examples of certain recurrence relations, or nonlinear discrete dynamical systems, that appear in the theory of orthogonal polynomials, from the point of view of Sakai’s geometric theory of Painlevé equations. Of particular interest is the fact that both recurrences are regularized on the same family of rational algebraic surfaces, but at the same time their dynamics are non-equivalent. This is a joint work with Galina Filipuk, Xing Li, and Da-jun Zhang.
Place
Location: Faculty of Physics, University of Warsaw
Address: Pasteura 5, Warsaw
Room: Lecture hall: 0.06