Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

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Dynamic asymptotic combinatorics

2017/26/A/ST1/00189

Keywords:

asymptotic representation theory asymptotic combinatorics algebraic combinatorics mathematical physics interacting particle systems

Descriptors:

  • ST1_14: Discrete mathematics and combinatorics
  • ST1_13: Probability and statistics
  • ST1_12: Mathematical methods of physics

Panel:

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

Host institution :

Instytut Matematyczny Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Piotr Śniady 

Number of co-investigators in the project: 6

Call: MAESTRO 9 - announced on 2017-06-14

Amount awarded: 2 608 620 PLN

Project start date (Y-m-d): 2018-04-09

Project end date (Y-m-d): 2025-04-08

Project duration:: 60 months (the same as in the proposal)

Project status: Pending project

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.

Information in the final report

  • Publication in academic press/journals (14)
  • Articles in post-conference publications (4)
  1. Hydrodynamic limit of the Robinson-Schensted-Knuth algorithm
    Authors:
    Mikołaj Marciniak
    Academic press:
    Random Structures & Algorithms (rok: 2022, tom: 60, no. 1, strony: 106--116), Wydawca: Wiley Periodicals LLC
    Status:
    Published
    DOI:
    10.1002/rsa.21016 - link to the publication
  2. Quadratic Coefficients of Goulden–Rattan Character Polynomials
    Authors:
    Mikołaj Marciniak
    Academic press:
    Annals of Combinatorics (rok: 2022, tom: 27, strony: 109–128), Wydawca: Springer Basel AG
    Status:
    Published
    DOI:
    10.1007/s00026-022-00611-5 - link to the publication
  3. Symmetric group characters of almost square shape
    Authors:
    Sho Matsumoto, Piotr Śniady
    Academic press:
    Algebraic Combinatorics (rok: 2022, tom: 5, strony: 771-784), Wydawca: The Combinatorics Consortium
    Status:
    Published
    DOI:
    10.5802/alco.247 - link to the publication
  4. Poisson limit theorems for the Robinson–Schensted correspondence and for the multi-line Hammersley process
    Authors:
    Mikołaj Marciniak, Łukasz Maślanka, Piotr Śniady
    Academic press:
    Advances in Applied Mathematics (rok: 2023, tom: 145, strony: Paper No. 102478, strony 1-40), Wydawca: Academic Press Inc Elsevier Science
    Status:
    Published
    DOI:
    10.1016/j.aam.2022.102478 - link to the publication
  5. The center of the wreath product of symmetric group algebras
    Authors:
    Omar Tout
    Academic press:
    Algebra and Discrete Mathematics (rok: 2021, tom: 31, strony: 302--322), Wydawca: Institute for Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine, Lugansk Taras Shevchenko National University
    Status:
    Published
    DOI:
    10.12958/adm1338 - link to the publication
  6. k-partial permutations and the center of the wreath product Sk≀Sn algebra
    Authors:
    Omar Tout
    Academic press:
    Journal of Algebraic Combinatorics (rok: 2021, tom: 53, strony: 389--412), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10801-019-00934-2 - link to the publication
  7. A positive combinatorial formula for symplectic Kostka-Foulkes polynomials I: Rows
    Authors:
    Maciej Dołęga, Thomas Gerber, Jacinta Torres
    Academic press:
    Journal of Algebra (rok: 2020, tom: 560, strony: 1253-1296), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2020.05.030 - link to the publication
  8. Limits of traces of Temperley-Lieb algebras
    Authors:
    Stephen T. Moore
    Academic press:
    Journal of Algebra (rok: 2024, tom: 642, strony: 95-147), Wydawca: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2023.12.018 - link to the publication
  9. Random strict partitions and random shifted tableaux
    Authors:
    Sho Matsumoto, Piotr Śniady
    Academic press:
    Selecta Mathematica, New Series (rok: 2020, tom: 1,09027777777778, strony: 21551), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00029-020-0535-2 - link to the publication
  10. Bijection between trees in Stanley character formula and factorizations of a cycle
    Authors:
    Karolina Trokowska, Piotr Śniady
    Academic press:
    The Electronic Journal of Combinatorics (rok: 2024, tom: 31, strony: Research Paper P1.23), Wydawca: Electronic Journal of Combinatorics
    Status:
    Published
    DOI:
    10.37236/11577 - link to the publication
  11. On a typical compact set as the attractor of generalized iterated function systems of infinite order
    Authors:
    Łukasz Maślanka
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2020, tom: 484, strony: Article number 123740, strony 1-17), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2019.123740 - link to the publication
  12. Second class particles and limit shapes of evacuation and sliding paths for random tableaux
    Authors:
    Łukasz Maślanka, Piotr Śniady
    Academic press:
    Documenta Mathematica (rok: 2022, tom: 27, strony: 2182-2273), Wydawca: Deutsche Mathematiker-Vereinigung EMS Press
    Status:
    Published
    DOI:
    10.4171/dm/x28 - link to the publication
  13. Linear versus spin representation theory of the symmetric groups
    Authors:
    Sho Matsumoto, Piotr Śniady
    Academic press:
    Algebraic Combinatorics (rok: 2020, tom: 45352, strony: 249-280), Wydawca: The Centre Mersenne for Open Scientific Publishing
    Status:
    Published
    DOI:
    10.5802/alco.92 - link to the publication
  14. Poisson limit of bumping routes in the Robinson-Schensted correspondence
    Authors:
    Mikołaj Marciniak, Łukasz Maślanka, Piotr Śniady
    Academic press:
    Probability Theory and Related Fields (rok: 2021, tom: 181, no. 4, strony: 1053--1103), Wydawca: Springer Nature Switzerland AG
    Status:
    Published
    DOI:
    10.1007/s00440-021-01084-y - link to the publication
  1. Stanley character formula for the spin characters of the symmetric groups
    Authors:
    Sho Matsumoto, Piotr Śniady
    Conference:
    31st Conference on Formal Power Series and Algebraic Combinatorics (Ljubljana) (rok: 2019, ), Wydawca: Fakultät für Mathematik Universität Wien
    Data:
    konferencja 1.07.2019-5.07.2019
    Status:
    Published
  2. A positive combinatorial formula for symplectic Kostka-Foulkes polynomials I: Rows
    Authors:
    Maciej Dołęga, Thomas Gerber, Jacinta Torres
    Conference:
    The 32nd international conference on Formal Power Series and Algebraic Combinatorics Online (rok: 2020, ), Wydawca: Fakultät für Mathematik Universität Wien
    Data:
    konferencja 06.07.2020-24.07.2020
    Status:
    Published
  3. Limit shapes of evacuation and jeu de taquin paths in random square tableaux
    Authors:
    Łukasz Maślanka, Piotr Śniady
    Conference:
    The 32nd international conference on Formal Power Series and Algebraic Combinatorics Online (rok: 2020, ), Wydawca: Fakultät für Mathematik Universität Wien
    Data:
    konferencja 06.07.2020-24.07.2020
    Status:
    Published
  4. Extensions of realisations for low-dimensional Lie algebras
    Authors:
    Iryna Yehorchenko
    Conference:
    34th International Colloquium on Group Theoretical Methods in Physics Strasbourg, 18-22 July 2022 (rok: 2022, ), Wydawca: SciPost Foundation
    Data:
    konferencja 18-22 July 2022
    Status:
    Published

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