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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Noncommutative probability with applicationjs

2016/21/B/ST1/00628

Keywords:

noncommutativeprobability

Descriptors:

  • ST1_9: Operator algebras and functional analysis
  • ST1_13: Probability and statistics
  • ST1_14: Discrete mathematics and combinatorics

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

woj. 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 (Y-m-d): 2017-02-09

Project end date (Y-m-d): 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 szt.) (6 000 PLN)
  2. Tablety (2 szt.) (5 000 PLN)
  3. Monitor Philips.
  4. Notebooki (laptopy) (2 szt.) (8 000 PLN)
  5. Urządzenia wielofunkcyjne (drukark, skaner, itp.) (2 szt.) (800 PLN)

Information in the final report

  • Publication in academic press/journals (17)
  • Articles in post-conference publications (2)
  1. Fock representations of Q-deformed commutation relations
    Authors:
    M. Bożejko, E. Lytvynov, J. Wysoczański
    Academic press:
    Journal of Mathematical Physics (rok: 2017, tom: 58, strony: 73501), Wydawca: American Institute of Physics
    Status:
    Published
    DOI:
    10.1063/1.4991671 - link to the publication
  2. Joint monotone and boolean numerical and spectral radii of d-tuples of operators
    Authors:
    Anna Kula, Janusz Wysoczański
    Academic press:
    Advances in Operator Theory (rok: 2020, tom: 5 no. 3, strony: 1039-1060), Wydawca: Tusi Mathematical Research Group
    Status:
    Published
    DOI:
    10.1007/s43036-020-00074-6 - link to the publication
  3. Free self-decomposability and unimodality of the Fuss-Catalan distributions
    Authors:
    Młotkowski, Wojciech; Sakuma, Noriyoshi; Ueda, Yuki
    Academic press:
    Journal of Statistical Physics (rok: 2020, tom: 178, strony: 1055-1075), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10955-020-02488-1 - link to the publication
  4. 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. (rok: 2018, tom: 361, strony: 583–604), Wydawca: Springer-Verlag GmbH
    Status:
    Published
    DOI:
    10.1007/s00220-018-3160-6 - 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 (rok: 2019, tom: 39 no. 1, strony: 183-197), Wydawca: University of Wrocław
    Status:
    Published
    DOI:
    10.19195/0208-4147.39.1.12 - link to the publication
  6. Some relatives of the Catalan sequence
    Authors:
    Liszewska, Elżbieta; Młotkowski, Wojciech,
    Academic press:
    Advances in Applied Mathematics, (rok: 2020, tom: 121, strony: 29), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aam.2020.102105 - link to the publication
  7. Reflection length with two parameters in the asymptotic representation theory of type B/C and applications
    Authors:
    Marek Bożejko, Maciej Dołęga, Wiktor Ejsmont, Światosław R. Gal
    Academic press:
    Journal of Functional Analysis (rok: 2021, tom: 2104,1453, strony: 31), Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  8. A (p, q)-Deformed Recurrence for the Bell Numbers
    Authors:
    Oussi, Lahcen
    Academic press:
    Journal of Integer Sequences (rok: 2020, tom: 23, strony: 45299), Wydawca: University of Watreloo, Canada
    Status:
    Published
    DOI:
    brak - link to the publication
  9. 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 (rok: 2018, tom: 21/3, strony: 25), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219025718500200 - link to the publication
  10. Distributions for Nonsymmetric Monotone and Weakly Monotone Position Operators
    Authors:
    Vitonofrio Crismale, Maria Elena Griseta, Janusz Wysoczański
    Academic press:
    Complex Analysis and Operator Theory (rok: 2021, tom: 15 no. 6, strony: 26), Wydawca: Birkhauser Verlag
    Status:
    Published
    DOI:
    10.1007/s11785-021-01146-y - link to the publication
  11. 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 (rok: 2021, tom: 18, strony: 35067), Wydawca: Instituto de Matematica Pura e Aplicata Brasil
    Status:
    Published
    DOI:
    10.30757/ALEA.v18-03 - link to the publication
  12. On quadratic embedding constants of star product graphs
    Authors:
    Młotkowski, Wojciech; Obata, Nobuaki,
    Academic press:
    Hokkaido Mathematical Journal, (rok: 2020, tom: 49 no 1, strony: 129-163), Wydawca: Department of Mathematics, Hokkaido University
    Status:
    Published
    DOI:
    10.14492/hokmj/1591085015 - link to the publication
  13. Permutations of Type B with Fixed Number of Descents and Minus Signs
    Authors:
    Katarzyna Kril, Wojciech Młotkowski
    Academic press:
    The Electronic Journal of Combinatorics (rok: 2019, tom: 26/1, P1.27, strony: 14), Wydawca: ELECTRONIC JOURNAL OF COMBINATORICS
    Status:
    Published
    DOI:
    10.37236/7306 - link to the publication
  14. Weakly Monotone Fock Space and Monotone Convolution of theWigner Law
    Authors:
    Vitonofrio Crismale, Maria Elena Griseta, Janusz Wysoczański
    Academic press:
    Journal of Theoretical Probability (rok: 2020, tom: 33 no. 1, strony: 268-294), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10959-018-0846-9 - link to the publication
  15. The double Fock space of type B
    Authors:
    Marek Bożejko, Wiktor Ejsmont
    Academic press:
    Symmetry, Integrability, Geometry, Methods and Applications (rok: 2022, tom: 2202,13762, strony: 19), Wydawca: Free Journal Network
    Status:
    Submitted
    DOI:
    brak - link to the publication
  16. (p, q)-analogues of the generalized Touchard polynomials and Stirling numbers
    Authors:
    Lahcen Oussi
    Academic press:
    Indagationes Mathematicae (rok: 2022, ), Wydawca: 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
  17. Cauchy-Stieltjes families with polynomial variance functions and generalized orthogonality
    Authors:
    Włodzimierz Bryc, Raouf Fakhfakh, Wojciech Młotkowski
    Academic press:
    Probability and Mathematical Statistics (rok: 2019, tom: 39 no.2, strony: 237-258), Wydawca: Uniwersytet Wrocławski, Politechnika Wrocławska
    Status:
    Published
    DOI:
    10.19195/0208-4147.39.2.1 - link to the publication
  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, (rok: 2018, ), Wydawca: Springer-Birkhauser
    Data:
    konferencja 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 (rok: 2017, ), Wydawca: Birkhauser/Springer
    Data:
    konferencja 14-19.10
    Status:
    Published

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