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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Non-commutative probability - relations between various notions of independence

2016/23/D/ST1/01077

Keywords:

non-commutative probability infinite divisibility non-crossing partitions

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 :

Politechnika Warszawska, Wydział Matematyki i Nauk Informacyjnych

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Kamil Szpojankowski 

Number of co-investigators in the project: 1

Call: SONATA 12 - announced on 2016-09-15

Amount awarded: 179 200 PLN

Project start date (Y-m-d): 2017-07-17

Project end date (Y-m-d): 2021-07-16

Project duration:: 48 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. Komputer (5 000 PLN)

Information in the final report

  • Publication in academic press/journals (5)
  1. Using Boolean cumulants to study multiplication and anti-commutators of free random variables
    Authors:
    Maxime Fevrier, Mitja Mastnak, Alexandru Nica, Kamil Szpojankowski
    Academic press:
    Transactions of The American Mathematical Society (rok: 2020, tom: 373, strony: 7167-7205), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/tran/8122 - link to the publication
  2. A construction which relates c-freeness to infinitesimal freeness
    Authors:
    Maxime Fevrier, Mitja Mastnak, Alexandru Nica, Kamil Szpojankowski
    Academic press:
    Advances in Applied Mathematics (rok: 2019, tom: 110, strony: 299-341), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aam.2019.06.002 - link to the publication
  3. Boolean cumulants and subordination in free probability
    Authors:
    Franz Lehner, Kamil Szpojankowski
    Academic press:
    Random Matrices: Theory and Applications , Wydawca: World Scientific
    Status:
    Accepted for publication
    DOI:
    10.1142/S2010326321500362 - link to the publication
  4. On the Partial Transpose of a Haar Unitary Matrix
    Authors:
    James A. Mingo, Mihai Popa and Kamil Szpojankowski
    Academic press:
    Studia Mathematica , Wydawca: Polish Academy of Sciences
    Status:
    Submitted
    DOI:
    brak - link to the publication
  5. Asymptotic ∗-distribution of permuted Haar unitary matrices
    Authors:
    James A. Mingo, Mihai Popa, Kamil Szpojankowski
    Academic press:
    Indiana University Mathematics Journal , Wydawca: Indiana University
    Status:
    Submitted
    DOI:
    brak - link to the publication

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