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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High-dimensional probability: spectra of random matrices and their asymptotic and non-asymptotic properties.

2018/31/B/ST1/03937

Keywords:

random matrices convex geometry regular graph eigenvalues delocalization of eigenvectors singular values empirical spectral distribution linear eigenvalue statistics central limit theorem

Descriptors:

  • ST1_13: Probability and statistics
  • ST1_14: Discrete mathematics and combinatorics
  • ST1_8: Analysis

Panel:

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

Host institution :

Uniwersytet Opolski, Wydział Matematyki, Fizyki i Informatyki

woj. opolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Ganna Lytova 

Number of co-investigators in the project: 2

Call: OPUS 16 - announced on 2018-09-14

Amount awarded: 233 580 PLN

Project start date (Y-m-d): 2019-07-24

Project end date (Y-m-d): 2024-07-23

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

Project status: Project completed

Project description

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Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (3)
  1. On the CLT for linear eigenvalue statistics of a tensor model of sample covariance matrices
    Authors:
    Alicja Dembczak-Kołodziejczyk, Anna Lytova
    Academic press:
    Journal of Mathematical Physics, Analysis, Geometry (rok: 2023, tom: 19, strony: 374–395), Wydawca: Verkin Institute for Low Temperature Physics and Engineering
    Status:
    Published
    DOI:
    10.15407/mag19.02.374 - link to the publication
  2. On delocalization of eigenvectors of random non-Hermitian matrices
    Authors:
    Anna Lytova, Konstantin Tikhomirov
    Academic press:
    Probability Theory and Related Fields (rok: 2020, tom: 177, strony: 465-524), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00440-019-00956-8 - link to the publication
  3. On the empirical spectral distribution for certain models related to sample covariance matrices with different correlations
    Authors:
    Alicja Dembczak-Kołodziejczyk, Anna Lytova
    Academic press:
    Random Matrices: Theory and Applications (RMTA) (rok: 2022, tom: 11(3), strony: 2250030), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S2010326322500307 - link to the publication

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