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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Noncommutative probability and harmonic analysis with applications

2012/05/B/ST1/00626

Keywords:

noncommutative probability

Descriptors:

  • ST1_9: Operator algebras and functional analysis
  • ST1_8: Analysis
  • ST1_13: Probability and statistics

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: 8

Call: OPUS 3 - announced on 2012-03-15

Amount awarded: 440 220 PLN

Project start date (Y-m-d): 2013-01-24

Project end date (Y-m-d): 2016-01-23

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Notebooki (laptopy) (4 szt.) (3 619 PLN)
  2. Urządzenia wielofunkcyjne (drukarki, skanery, itp) (5 szt.) (1 370 PLN)
  3. Tablety.
  4. Czytniki ebook (2 szt.) (3 000 PLN)
  5. Komputery stacjonarne - zestawy (3 100 PLN)

Information in the final report

  • Publication in academic press/journals (25)
  • Book publications / chapters in book publications (1)
  1. Convolution, subordination and characterization problems in noncommutative probability
    Authors:
    W. Ejsmont, U. Franz, K. Szpojankowski
    Academic press:
    Indiana University Mathematics Journal. (rok: 2017, tom: 66, no. 1, strony: 237-257), Wydawca: Indiana University
    Status:
    Published
    DOI:
    brak - link to the publication
  2. INTERPOLATIONS OF BARGMANN TYPE MEASURES
    Authors:
    N. Asai, A.D.Krystek, Ł.J.Wojakowski
    Academic press:
    DEMONSTRATIO MATHEMATICA (rok: 2016, tom: 49 no. 3, strony: 293-301), Wydawca: Warsaw University of Technology
    Status:
    Published
    DOI:
    10.1515/dema-2016-0025 - link to the publication
  3. New Eulerian numbers of type D
    Authors:
    A. Borowiec, W. Młotkowski
    Academic press:
    Electronic Journal of Combinatorics (rok: 2016, tom: 23, no. 1, strony: 13), Wydawca: ELECTRONIC JOURNAL OF COMBINATORICS
    Status:
    Published
    DOI:
    brak - link to the publication
  4. New characterization of two-state normal distribution
    Authors:
    W. Ejsmont
    Academic press:
    Infinite Dimensional Analysis, Quantum Probability and Related Topics (rok: 2014, tom: 17, strony: 45312), Wydawca: World Scientific
    Status:
    Published
    DOI:
    brak - link to the publication
  5. Noncommutative characterization of free Meixner processes.
    Authors:
    W. Ejsmont
    Academic press:
    Electronic Communications in Probability (rok: 2013, tom: 18 no. 22, strony: 45303), Wydawca: Bernoulli Society
    Status:
    Published
    DOI:
    brak - link to the publication
  6. On free infinite divisibility for classical Meixner distributions
    Authors:
    M. Bożejko, T. Hasebe
    Academic press:
    Probability and Mathematical Statistics (rok: 2013, tom: 33/2, strony: 363-375), Wydawca: Uniwersytet Wrocławski i Politechnika Wrocławska
    Status:
    Published
    DOI:
    brak - link to the publication
  7. The probability measure corresponding to 2-plane trees
    Authors:
    W. Młotkowski, K. Penson
    Academic press:
    Probability and Mathematical Statistics (rok: 2013, tom: 33/2, strony: 255-264), Wydawca: Uniwersytet Wrocłąwski i Politechnika Wrocławska
    Status:
    Published
  8. Densities of the Raney distributions.
    Authors:
    W. Młotkowski, K. Penson, K. Życzkowski
    Academic press:
    Documenta Mathematica (rok: 2013, tom: 18, strony: 1573-1596), Wydawca: Deutsche Mathematiker-Vereinigung (DMV)
    Status:
    Published
    DOI:
    brak - link to the publication
  9. Fock space associated to Coxeter groups of type B
    Authors:
    M. Bożejko, W. Ejsmont, T. Hasebe
    Academic press:
    J. Funct.Anal (rok: 2015, tom: 269, no. 6, strony: 1769-1795), Wydawca: Elsevier
    Status:
    Published
    DOI:
    brak - link to the publication
  10. Rank two perturbations of matrices and operators and operator model for t-transformation of probability measures
    Authors:
    A. Kula, M. Wojtylak, J. Wysoczański
    Academic press:
    Journal of Functional Analysis (rok: 2017, tom: 272, no. 3, strony: 1147-1181), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.021 - link to the publication
  11. A New Look at the Coefficients of a Reciprocal Generating Function
    Authors:
    W. Ejsmont
    Academic press:
    World Scientific Journal (rok: 2014, tom: 2014, strony: 45295), Wydawca: World Scientific
    Status:
    Published
    DOI:
    brak - link to the publication
  12. A family of sequences of binomial type
    Authors:
    W. Młotkowski, A. Romanowicz
    Academic press:
    Probability and Mathematical Statistics (rok: 2013, tom: 33/2, strony: 401-408), Wydawca: Uniwersytet Wrocławski i Politechnika Wrocławska
    Status:
    Published
  13. Probability distributions with binomial moments,
    Authors:
    W. Młotkowski, K. A. Penson,
    Academic press:
    Infinite Dimensional Analysis, Quantum Probability and Related Topics, (rok: 2014, tom: 17/2, strony: 32), Wydawca: World Scientific
    Status:
    Published
    DOI:
    brak - link to the publication
  14. Radial Bargmann representation for the Fock space of type B
    Authors:
    N. Asai, T. Hasebe, M. Bożejko
    Academic press:
    Journal Math. Phys. (rok: 2016, tom: 57, strony: 021702-1-021702-13), Wydawca: American Institute of Physics (AIP)
    Status:
    Published
    DOI:
    10.1063/1.4939748 - link to the publication
  15. Spectral density of generalized Wishart matrices and free multiplicative convolution
    Authors:
    W. Młotkowski, M.A.Nowak, K.A.Penson, K. Życzkowski
    Academic press:
    Physical Review E (rok: 2015, tom: 92, strony: 012121_1-9), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    brak - link to the publication
  16. 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:
    Journal of Functional Analysis (rok: 2016, ), Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  17. Generalized Gaussian processes and relations with random matrices and positive definite functions on permutation groups
    Authors:
    M. Bożejko, W. Bożejko
    Academic press:
    Infin. Dimens. Anal. Quantum Probab. Relat. Top. (rok: 2015, tom: 18 no. 3, strony: 1550020-1-19), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219025715500204 - link to the publication
  18. A Characterization of the Normal Distribution by the Independence of a Pair of Random Vectors.
    Authors:
    W. Ejsmont
    Academic press:
    Statistics and Probability Letters (rok: 2016, tom: 114, strony: 45296), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spl.2016.02.011. - link to the publication
  19. Conditionally free semi-stable distributions
    Authors:
    A.D.Krystek, Ł.J.Wojakowski
    Academic press:
    Infinite Dimensional Analysis, Quantum Probability and Related Topics (rok: 2015, tom: 18 no. 2, strony: 1550015_1-18), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219025715500150 - link to the publication
  20. Gelfand-Raikov representations of Coxeter groups associated with positive definite norm functions
    Authors:
    M. Bożejko, T. Hirai
    Academic press:
    Probability and Mathematical Statistics (rok: 2014, tom: 34 (1), strony: 161-180), Wydawca: Uniwersytet Wrocławski i Politechnika Wrocławska
    Status:
    Published
    DOI:
    brak - link to the publication
  21. An example of a boolean-free type central limit theorem
    Authors:
    A. Kula, J. Wysoczański
    Academic press:
    Probability and Mathematical Statistics (rok: 2013, tom: 33/2, strony: 341-352), Wydawca: Uniwersytet Wrocławski i Politechnika Wrocławska
    Status:
    Published
  22. An extended anyon Fock space and noncommutative Meixner-type orthogonal polynomials in infinite dimensions.
    Authors:
    M. Bożejko, E. Lytvynov, I. Rodionova
    Academic press:
    Uspeikhi Mat.Nauk, Russian Mathematical Survey (rok: 2015, tom: 70, no.5 (425), strony: 875-899), Wydawca: Russian Academy of Sciences,
    Status:
    Published
    DOI:
    10.1070/RM2015v070n05ABEH004965 - link to the publication
  23. Bargmann measures for t-deformed probability
    Authors:
    A. Krystek, Ł. Wojakowski
    Academic press:
    Probability and Mathematical Statistics (rok: 2014, tom: 34 (2), strony: 279-291), Wydawca: Uniwersytet Wrocławski i Politechnika Wrocławska
    Status:
    Published
    DOI:
    brak - link to the publication
  24. Fock space realizations of some classical Markov processes
    Authors:
    W. Bryc, W. Ejsmont
    Academic press:
    Probability and Mathematical Statistics (rok: 2013, tom: 33/2, strony: 301-313), Wydawca: Uniwersytet Wrocławski i Politechnika Wrocławska
    Status:
    Published
  25. Gauge-invriant quasi-free states on the algebra of the anyon commutation relations
    Authors:
    E. Lytvynov
    Academic press:
    Communications in Mathematical Physics (rok: 2017, ), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00220-016-2786-5 - link to the publication
  1. Random Matrices and Free Probability
    Authors:
    M. Bożejko, A. Krystek, Ł. Wojakowski, J. Wysoczański
    Book:
    Probability and Mathematical Statistics special issue (rok: 2013, tom: 33/2, strony: 190-480), Wydawca: Uniwersytet Wrocławski i Politechnika Wrocławska
    Status:
    Published
    DOI:
    link to the publication

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