19-23 June 2023
Faculty of Physics, University of Warsaw
Europe/Warsaw timezone
Continued fractions and integrability
Place
Location: Faculty of Physics, University of Warsaw
Address: Pasteura 5, Warsaw
Room: Lecture hall: 0.06
Date:
23 Jun 09:15 - 10:45
Timetable | Contribution List
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It has been known for some years that there are deep connections between continued fractions and integrable systems: one of the earliest examples appears in Moser's work on solutions of the finite Kac-van Moerbeke (or Volterra) lattice, but there are many other examples e.g. in recurrence coefficients for orthogonal polynomials arising in random matrix theory, which satisfy (discrete and continuou
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Presented by Prof. Andrew HONE
on
23/06/2023
at
07:15
It is well known that the rational (or Padé) approximants are closely related with the discrete-time Toda equation. The structural connection with orthogonal polynomials provides a link between the theory of integrable systems and various classical results of applied mathematics and numerical analysis. Inspired by recent advances on symmetry and integrability of difference equations I would like
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Presented by Prof. Adam DOLIWA
on
23/06/2023
at
07:45
A TCD map is a map from a triple crossing diagrams to projective space, satisfying an incidence requirement. We introduce dynamics on TCD maps based on Menelaus theorem and show multi-dimensionally consistency with Desargues theorem. To each TCD map we associate a hierarchy of dimer models, which provides local and global invariants. Conveniently, TCD maps include as special cases a large number
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Presented by Mr. Niklas AFFOLTER
on
23/06/2023
at
08:15