Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Dual combinatorics of Jack characters

2014/15/B/ST1/00064

Keywords:

algebraic combinatorics symmetric polynomials Jack polynomials Jack characters random Young diagrams random matrices asymptotic representation theory representations of symmetric groups

Descriptors:

  • ST1_14: Discrete mathematics and combinatorics
  • ST1_13: Probability and statistics
  • ST1_2: Algebra

Panel:

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

Host institution :

Uniwersytet im. Adama Mickiewicza w Poznaniu, Wydział Matematyki i Informatyki

woj. wielkopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Piotr Śniady 

Number of co-investigators in the project: 4

Call: OPUS 8 - announced on 2014-09-15

Amount awarded: 543 515 PLN

Project start date (Y-m-d): 2015-07-20

Project end date (Y-m-d): 2019-01-19

Project duration:: 42 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Mobilny Tablet.
  2. ultraprzenośny laptop (2 szt.) (10 000 PLN)
  3. ultraprzenośny laptop (5 000 PLN)

Information in the final report

  • Publication in academic press/journals (14)
  • Articles in post-conference publications (1)
  1. A characterization of symmetric stable distributions
    Authors:
    Wiktor Ejsmont
    Academic press:
    Journal of Function Spaces (rok: 2016, tom: brak, strony: 3), Wydawca: Hindawi
    Status:
    Published
    DOI:
    10.1155/2016/8384767 - link to the publication
  2. Bijection between oriented maps and weighted non-oriented maps
    Authors:
    Agnieszka Czyżewska-Jankowska, Piotr Śniady
    Academic press:
    The Electronic Journal of Combinatorics (rok: 2017, tom: 24(3), strony: #P3.7), Wydawca: Electronic Journal of Combinatorics
    Status:
    Published
    DOI:
    brak - link to the publication
  3. Sample variance in free probability
    Authors:
    Ejsmont Wiktor, Lehner Franz
    Academic press:
    Journal of Functional Analysis (rok: 2017, tom: 273, strony: 2488-2520), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2017.05.007 - link to the publication
  4. Type B Gaussian Statistics as Noncommutative Central Limits
    Authors:
    Natasha Blitvić, Wiktor Ejsmont
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2019, tom: 480, strony: 123294), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2019.06.065 - link to the publication
  5. Noncommutative probability of type D
    Authors:
    Marek Bożejko, Wiktor Ejsmont, Takahiro Hasebe
    Academic press:
    International Journal of Mathematics (rok: 2017, tom: 28, strony: 30), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0129167X17500100 - link to the publication
  6. Algebras with two multiplications and their cumulants
    Authors:
    Adam Burchardt
    Academic press:
    Journal of Algebraic Combinatorics (rok: 2019, tom: brak, strony: brak), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10801-019-00898-3 - link to the publication
  7. Asymptotics of Jack characters
    Authors:
    Piotr Śniady
    Academic press:
    Journal of Combinatorial Theory A (rok: 2019, tom: 166, strony: 91-143), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jcta.2019.02.020 - link to the publication
  8. Characterization of non-commutative free Gaussian variables
    Authors:
    Arup Bose, Apratim Dey, Wiktor Ejsmont
    Academic press:
    ALEA - Latin American Journal of Probability and Mathematical Statistics (rok: 2018, tom: 15, strony: 1241-1255), Wydawca: Institute of Mathematical Statistics
    Status:
    Published
    DOI:
    10.30757/ALEA.v15-46 - link to the publication
  9. Skew Howe duality and random rectangular Young tableaux
    Authors:
    Greta Panova, Piotr Śniady
    Academic press:
    Algebraic Combinatorics (rok: 2018, tom: 1 (no. 1), strony: p. 81-94), Wydawca: Centre Mersenne for Open scientific publishing
    Status:
    Published
    DOI:
    10.5802/alco.8 - link to the publication
  10. A characterization of the normal distribution by the independence of a pair of random vectors
    Authors:
    Wiktor Ejsmont
    Academic press:
    Statistics & Probability Letters (rok: 2016, tom: 114, strony: 45296), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spl.2016.02.011 - link to the publication
  11. Eigenvalues of non-hermitian random matrices and Brown measure of non-normal operators: hermitian reduction and linearization method
    Authors:
    Serban Belinschi, Piotr Sniady, Roland Speicher
    Academic press:
    Linear Algebra Appl. (rok: 2018, tom: 573, strony: 48-83), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.laa.2017.09.024 - link to the publication
  12. The top-degree part in the Matchings-Jack Conjecture
    Authors:
    Adam Burchardt
    Academic press:
    repozytorium arXiv (rok: 2018, tom: brak, strony: brak), Wydawca: brak
    Status:
    Submitted
    DOI:
    brak - link to the publication
  13. Gaussian fluctuations of Jack-deformed random Young diagrams
    Authors:
    Maciej Dołęga, Piotr Śniady
    Academic press:
    Probability Theory and Related Fields (rok: 2019, tom: 174, strony: 133-176), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00440-018-0854-9 - link to the publication
  14. Semiclassical asymptotics of GL_N(C) tensor products and quantum random matrices
    Authors:
    Benoît Collins, Jonathan Novak, Piotr Śniady
    Academic press:
    Selecta Mathematica New Series (rok: 2018, tom: 24, strony: 2571-2623), Wydawca: Springer International Publishing
    Status:
    Published
    DOI:
    10.1007/s00029-017-0387-6 - link to the publication
  1. Jack characters and enumeration of maps
    Authors:
    Agnieszka Czyżewska-Jankowska, Piotr Śniady
    Conference:
    Formal Power Series and Algebraic Combinatorics 2017, London (rok: 2017, ), Wydawca: Fakultät für Mathematik Universität Wien
    Data:
    konferencja July 9 - 13, 2017
    Status:
    Published

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