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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Asymptotics of random matrices, matricial freeness and operator systems

2014/15/B/ST1/00166

Keywords:

random matrix free probability limit distribution operator algebra

Descriptors:

  • ST1_9: Operator algebras and functional 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 :

Politechnika Wrocławska, Wydział Matematyki

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Romuald Lenczewski 

Number of co-investigators in the project: 2

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

Amount awarded: 269 400 PLN

Project start date (Y-m-d): 2015-08-10

Project end date (Y-m-d): 2019-08-09

Project duration:: 48 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Drukarka laserowa (1 000 PLN)
  2. Laptop (4 500 PLN)

Information in the final report

  • Publication in academic press/journals (5)
  1. Asymptotic distributions of Wishart type products of random matrices
    Authors:
    Romuald Lenczewski, Rafał Sałapata
    Academic press:
    Colloquium Mathematicum (rok: 2019, tom: Vol. 155, No.1, strony: 67-106), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
  2. Continuous circular systems, random matrices and the triangular operator
    Authors:
    Romuald Lenczewski
    Academic press:
    Communications on Stochastic Analysis (rok: 2018, tom: Vol. 12, No. 3, strony: 225-248), Wydawca: Louisiana State University
    Status:
    Published
    DOI:
    10.31390/cosa.12.3.02 - link to the publication
  3. Motzkin path decompositions of functionals in noncommutative probability
    Authors:
    Romuald Lenczewski
    Academic press:
    Advances in Mathematics , Wydawca: Elsevier
    Status:
    Submitted
  4. Matricial circular systems and random matrices
    Authors:
    Romuald Lenczewski
    Academic press:
    Random Matrices: Theory and Applications (rok: 2016, tom: Vol. 5, No. 4, strony: 1650012: 1-30), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S201032631650012X - link to the publication
  5. Conditionally monotone independence and the associated products of graphs
    Authors:
    Romuald Lenczewski
    Academic press:
    Infinite Dimensional Analysis, Quantum Probability and Related Topics (rok: 2019, tom: 22, strony: 1950023: 1-24), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219025719500231 - link to the publication