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Noncommutative probability with applicationjs

2016/21/B/ST1/00628

Keywords

Descriptors

  • ST1_9: Algebry operatorowe i analiza funkcjonalna
  • ST1_13: Rachunek prawdopodobieństwa i statystyka matematyczna
  • ST1_14: Kombinatoryka

Panel

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

Host institution

Uniwersytet Wrocławski, Wydział Matematyki i Informatyki

Voivodeship: dolnośląskie

Other projects carried out by the institution »

Principal investigator (from the host institution)

prof. Marek Bożejko

Number of co-investigators in the project: 5

Call

OPUS 11 – announced on 2016-03-15

Amount awarded
433 200 PLN
Project start date
2017-02-09
Project end date
2022-02-08
Project duration
60 months (the same as in the proposal)
Project status
Project settled

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.

Equipment purchased [PL]

  1. Komputery stacjonarne - zestawy (2 pcs). Cost: 6 000 PLN
  2. Monitor Philips.
  3. Notebooki (laptopy) (2 pcs). Cost: 8 000 PLN
  4. Tablety (2 pcs). Cost: 5 000 PLN
  5. Urządzenia wielofunkcyjne (drukark, skaner, itp.) (2 pcs). Cost: 800 PLN

Information in the final report

Publication in academic press/journals (15)

  1. Free self-decomposability and unimodality of the Fuss-Catalan distributions

    Authors:
    Młotkowski, Wojciech; Sakuma, Noriyoshi; Ueda, Yuki
    Academic press:
    Journal of Statistical Physics (year: 2020, volume: 178, pages: 1055-1075), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s10955-020-02488-1 – link to the publication

  2. On quadratic embedding constants of star product graphs

    Authors:
    Młotkowski, Wojciech; Obata, Nobuaki,
    Academic press:
    Hokkaido Mathematical Journal, (year: 2020, volume: 49 no 1, pages: 129-163), Publisher: Department of Mathematics, Hokkaido University
    Status:
    Published
    DOI:
    10.14492/hokmj/1591085015 – link to the publication

  3. Permutations of Type B with Fixed Number of Descents and Minus Signs

    Authors:
    Katarzyna Kril, Wojciech Młotkowski
    Academic press:
    The Electronic Journal of Combinatorics (year: 2019, volume: 26/1, P1.27, pages: 14), Publisher: ELECTRONIC JOURNAL OF COMBINATORICS
    Status:
    Published
    DOI:
    10.37236/7306 – link to the publication

  4. Fock representations of Q-deformed commutation relations

    Authors:
    M. Bożejko, E. Lytvynov, J. Wysoczański
    Academic press:
    Journal of Mathematical Physics (year: 2017, volume: 58, pages: 73501), Publisher: American Institute of Physics
    Status:
    Published
    DOI:
    10.1063/1.4991671 – link to the publication

  5. bm-Central Limit Theorems associated with non-symmetric positive cones

    Authors:
    L. Oussi, J. Wysoczański
    Academic press:
    Probability and Mathematical Statistics (year: 2019, volume: 39 no. 1, pages: 183-197), Publisher: University of Wrocław
    Status:
    Published
    DOI:
    10.19195/0208-4147.39.1.12 – link to the publication

  6. Cauchy-Stieltjes families with polynomial variance functions and generalized orthogonality

    Authors:
    Włodzimierz Bryc, Raouf Fakhfakh, Wojciech Młotkowski
    Academic press:
    Probability and Mathematical Statistics (year: 2019, volume: 39 no.2, pages: 237-258), Publisher: Uniwersytet Wrocławski, Politechnika Wrocławska
    Status:
    Published
    DOI:
    10.19195/0208-4147.39.2.1 – link to the publication

  7. Approximation of a free Poisson process by systems of freely independent particles

    Authors:
    M. Bożejko, J-L da Silva, T. Kuna, E. Lytvynov
    Academic press:
    Infinite Dimensional Analysis, Quantum Probability and Related Topics (year: 2018, volume: 21/3, pages: 25), Publisher: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219025718500200 – link to the publication

  8. Weakly Monotone Fock Space and Monotone Convolution of theWigner Law

    Authors:
    Vitonofrio Crismale, Maria Elena Griseta, Janusz Wysoczański
    Academic press:
    Journal of Theoretical Probability (year: 2020, volume: 33 no. 1, pages: 268-294), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s10959-018-0846-9 – link to the publication

  9. Joint monotone and boolean numerical and spectral radii of d-tuples of operators

    Authors:
    Anna Kula, Janusz Wysoczański
    Academic press:
    Advances in Operator Theory (year: 2020, volume: 5 no. 3, pages: 1039-1060), Publisher: Tusi Mathematical Research Group
    Status:
    Published
    DOI:
    10.1007/s43036-020-00074-6 – link to the publication

  10. Positive Definite Functions on Coxeter Groups with Applications to Operator Spaces and Noncommutative Probability.

    Authors:
    M. Bożejko, Ś.R. Gal, W. Młotkowski
    Academic press:
    Commun. Math. Phys. (year: 2018, volume: 361, pages: 583–604), Publisher: Springer-Verlag GmbH
    Status:
    Published
    DOI:
    10.1007/s00220-018-3160-6 – link to the publication

  11. (p, q)-analogues of the generalized Touchard polynomials and Stirling numbers

    Authors:
    Lahcen Oussi
    Academic press:
    Indagationes Mathematicae (year: 2022, volume: 0, pages: 0), Publisher: The Mathematical Sciences of the Royal Dutch Mathematical Society (Published by Elsevier)
    Status:
    Published
    DOI:
    10.1016/j.indag.2021.12.009 – link to the publication

  12. Distributions for Nonsymmetric Monotone and Weakly Monotone Position Operators

    Authors:
    Vitonofrio Crismale, Maria Elena Griseta, Janusz Wysoczański
    Academic press:
    Complex Analysis and Operator Theory (year: 2021, volume: 15 no. 6, pages: 26), Publisher: Birkhauser Verlag
    Status:
    Published
    DOI:
    10.1007/s11785-021-01146-y – link to the publication

  13. Noncommutative analogues of the Law of Small Numbers for random variables indexed by elements of positive symmetric cones

    Authors:
    Oussi, Lahcen; Wysoczański, Janusz
    Academic press:
    ALEA, Lat. Am. J. Probab. Math. Stat (year: 2021, volume: 18, pages: 35067), Publisher: Instituto de Matematica Pura e Aplicata Brasil
    Status:
    Published
    DOI:
    10.30757/ALEA.v18-03 – link to the publication

  14. Some relatives of the Catalan sequence

    Authors:
    Liszewska, Elżbieta; Młotkowski, Wojciech,
    Academic press:
    Advances in Applied Mathematics, (year: 2020, volume: 121, pages: 29), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aam.2020.102105 – link to the publication

  15. A (p, q)-Deformed Recurrence for the Bell Numbers

    Authors:
    Oussi, Lahcen
    Academic press:
    Journal of Integer Sequences (year: 2020, volume: 23, pages: 46030), Publisher: University of Watreloo, Canada
    Status:
    Published

Articles in post-conference publications (2)

  1. Anyonic Fock Spaces, q-CCR Relations for |q| = 1 and Relations with Yang–Baxter Operators

    Authors:
    M. Bożejko
    Conference:
    Geometric Methods in Physics. XXXV Workshop 2016 Trends in Mathematics, (year: 2018, pages: 237-247), Publisher: Springer-Birkhauser
    Date:
    conference 26.06-2.07.2016
    Status:
    Published

  2. Conditionally free probability

    Authors:
    M. Bożejko
    Conference:
    Mathematics, Signal Processing and Linear Systems: New Problems and Directions (year: 2017, pages: 139-147), Publisher: Birkhauser/Springer
    Date:
    conference 14-19.10
    Status:
    Published

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