Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Yang-Baxter maps and their role in discrete nonlinear integrable systems theory.

2022/45/P/ST1/03998

Keywords:

Yang-Baxter maps integrable nonlinear difference equations discrete nonlinear sigma models discrete complex analysis

Descriptors:

  • ST1_012:
  • ST2_014:

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Warszawski, Wydział Fizyki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Pavlos Kassotakis 

Number of co-investigators in the project: 2

Call: POLONEZ BIS 2 - announced on 2022-03-28

Amount awarded: 670 355 PLN

Project start date (Y-m-d): 2023-03-01

Project end date (Y-m-d): 2025-02-28

Project duration:: 24 months (the same as in the proposal)

Project status: Project completed

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Niniejszy projekt otrzymał dofinansowanie w ramach programu finansowania badań naukowych i innowacji UE „Horyzont 2020” na podstawie umowy Nr 665778 o dofinansowanie działań „Marie Skłodowska-Curie”.

Information in the final report

  • Publication in academic press/journals (7)
  1. Matrix factorizations and pentagon maps
    Authors:
    Pavlos Kassotakis
    Academic press:
    Proceedings of the Royal Society A (rok: 2023, tom: 479, strony: 20230276), Wydawca: Royal Society
    Status:
    Published
    DOI:
    10.1098/rspa.2023.0276 - link to the publication
  2. Discrete integrable principal chiral field model and its involutive reduction.
    Authors:
    Jan L. Cieśliński, Alexander V. Mikhailov, Maciej Nieszporski, Frank W. Nijhoff
    Academic press:
    Studies in Applied Mathematics (rok: 2025, tom: 155, strony: e70084), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1111/sapm.70084 - link to the publication
  3. On quadrirational pentagon maps
    Authors:
    Charalampos Evripidou, Pavlos Kassotakis and Anastasios Tongas
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (rok: 2024, tom: 57, strony: 455203), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1751-8121/ad85b1 - link to the publication
  4. Entwining tetrahedron maps
    Authors:
    Pavlos Kassotakis
    Academic press:
    Partial Differential Equations in Applied Mathematics (rok: 2024, tom: 12, strony: 100949), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.padiff.2024.100949 - link to the publication
  5. Non-Abelian hierarchies of compatible maps, associated integrable difference systems and Yang-Baxter maps
    Authors:
    Pavlos Kassotakis
    Academic press:
    Nonlinearity (rok: 2023, tom: 36, strony: 2514), Wydawca: IOP Publishing Ltd & London Mathematical Society
    Status:
    Published
    DOI:
    10.1088/1361-6544/acc305 - link to the publication
  6. On refactorization problems and rational Lax matrices of quadrirational Yang–Baxter maps
    Authors:
    Pavlos Kassotakis , Theodoros Kouloukas, Maciej Nieszporski
    Academic press:
    Partial Differential Equations in Applied Mathematics (rok: 2025, tom: 13, strony: 101094), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.padiff.2025.101094 - link to the publication
  7. Non-Abelian elastic collisions, associated difference systems of equations and discrete analytic functions
    Authors:
    Pavlos Kassotakis , Theodoros Kouloukas, Maciej Nieszporski
    Academic press:
    Nuclear Physics B (rok: 2025, tom: 1012, strony: 116824), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nuclphysb.2025.116824 - link to the publication