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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The concentration of measure phenomenon

2015/18/E/ST1/00214

Keywords:

concentration of measure probabilistic inequalities differential inequalities transportation of measure convex functions Markov processes random permutations martingales

Descriptors:

  • ST1_13: Probability and statistics
  • 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 Warszawski, Wydział Matematyki, Informatyki i Mechaniki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Radosław Adamczak 

Number of co-investigators in the project: 6

Call: SONATA BIS 5 - announced on 2015-06-15

Amount awarded: 812 200 PLN

Project start date (Y-m-d): 2016-04-12

Project end date (Y-m-d): 2023-01-11

Project duration:: 81 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. Tablet graficzny.
  2. Tablet.
  3. Laptop.
  4. Komputer typu laptop (2 szt.) (12 000 PLN)
  5. Monitor.
  6. Oprogramowanie Mathematica (7 000 PLN)

Information in the final report

  • Publication in academic press/journals (17)
  1. A note on concentration for polynomials in the Ising model
    Authors:
    Radosław Adamczak, Michał Kotowski, Bartłomiej Polaczyk, Michał Strzelecki
    Academic press:
    Electronic Journal of Probability (rok: 2019, tom: 24, strony: 45313), Wydawca: The Institute of Mathematical Statistics and the Bernoulli Society
    Status:
    Published
    DOI:
    10.1214/19-EJP280 - link to the publication
  2. Concentration of the empirical spectral distribution of random matrices with dependent entries
    Authors:
    Bartłomiej Polaczyk
    Academic press:
    Electronic Communications in Probability (rok: 2019, tom: 24, strony: 45306), Wydawca: The Institute of Mathematical Statistics and the Bernoulli Society
    Status:
    Published
    DOI:
    10.1214/19-ECP277 - link to the publication
  3. The interchange process with reversals on the complete graph
    Authors:
    Jakob E. Björnberg, Michał Kotowski, Benjamin Lees, Piotr Miłoś
    Academic press:
    Electronic Journal of Probability (rok: 2019, tom: 24, strony: 17533), Wydawca: The Institute of Mathematical Statistics and The Bernoulli Society
    Status:
    Published
    DOI:
    10.1214/19-EJP366 - link to the publication
  4. Norms of structured random matrices
    Authors:
    Radosław Adamczak, Joscha Prochno, Marta Strzelecka, Michał Strzelecki
    Academic press:
    Mathematische Annalen , Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    10.1007/s00208-023-02599-6 - link to the publication
  5. Moments of Gaussian chaoses in Banach spaces
    Authors:
    Radosław Adamczak, Rafał Latała, Rafał Meller
    Academic press:
    Electronic Journal of Probability (rok: 2021, tom: 26, strony: 13150), Wydawca: The Institute of Mathematical Statistics and the Bernoulli Society
    Status:
    Published
    DOI:
    10.1214/20-EJP567 - link to the publication
  6. Phase transition for the interchange and quantum Heisenberg models on the Hamming graph
    Authors:
    Radosław Adamczak, Michał Kotowski, Piotr Miłoś
    Academic press:
    Annales de l'Institut Henri Poincaré - Probabilités et Statistiques (rok: 2021, tom: 57(1), strony: 273-325), Wydawca: The Institute of Mathematical Statistics and the Bernoulli Society
    Status:
    Published
    DOI:
    10.1214/20-AIHP1079 - link to the publication
  7. Random non-Abelian G-circulant matrices. Spectrum of random convolution operators on large finite groups
    Authors:
    Radosław Adamczak
    Academic press:
    Random Matrices. Theory and Applications (rok: 2021, tom: Vol.10,No.03, strony: 2250002), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S2010326322500022 - link to the publication
  8. From intersection bodies to dual centroid bodies: a stochastic approach to isoperimetry
    Authors:
    Radosław Adamcza, Grigoris Paouris, Peter Pivovarov, Paul Simanjuntak
    Academic press:
    Journal of the European Mathematical Society , Wydawca: European Mathematical Society
    Status:
    Submitted
    DOI:
    brak - link to the publication
  9. General Bernstein-Like Inequality for Additive Functionals of Markov Chains
    Authors:
    Michał Lemańczyk
    Academic press:
    Journal of Theoretical Probability (rok: 2021, tom: 34, strony: 1426-1454), Wydawca: SPRINGER/PLENUM PUBLISHERS
    Status:
    Published
    DOI:
    10.1007/s10959-020-01006-z - link to the publication
  10. Hanson-Wright Inequality in Banach Spaces
    Authors:
    Radosław Adamczak, Rafał Latała, Rafał meller
    Academic press:
    Annales de l'Institut Henri Poincaré, Probabilités et Statistiques (rok: 2020, tom: 56, strony: 2356-2376), Wydawca: Institut Henri Poincaré
    Status:
    Published
    DOI:
    10.1214/19-AIHP1041 - link to the publication
  11. Hereditary subshifts whose measure of maximal entropy has no Gibbs property
    Authors:
    Joanna Kułaga-Przymus, Michał Lemańczyk
    Academic press:
    Colloquium Mathematicum (rok: 2021, tom: 166, strony: 107-127), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm8223-11-2020 - link to the publication
  12. On the convex Poincare inequality and weak transportation inequalities
    Authors:
    Radosław Adamczak, Michał Strzelecki
    Academic press:
    Bernoulli (rok: 2019, tom: Vol. 25 No. 1, strony: 341-374), Wydawca: Bernoulli Society for Mathematical Statistics and Probability
    Status:
    Published
    DOI:
    10.3150/17-BEJ989 - link to the publication
  13. Concentration inequalities for some negatively dependent binary random variables
    Authors:
    Radosław Adamczak, Bartłomiej Polaczyk
    Academic press:
    ALEA - Latin American Journal of Probability and Mathematical Statistics , Wydawca: IMPA
    Status:
    Submitted
    DOI:
    brak - link to the publication
  14. Metric and classical fidelity uncertainty relations for random unitary matrices
    Authors:
    Radosław Adamczak
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (rok: 2017, tom: 50, strony: 105302), Wydawca: IOP Publishing LTD
    Status:
    Published
    DOI:
    10.1088/1751-8121/aa5662 - link to the publication
  15. Modified log-Sobolev inequalities, Beckner inequalities and moment estimates
    Authors:
    Radosław Adamczak, Bartłomiej Polaczyk, Michał Strzelecki
    Academic press:
    Journal of Functional Analysis (rok: 2022, tom: Vol. 282, Iss. 7, strony: 109349), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2021.109349 - link to the publication
  16. On almost sure convergence of random variables with finite chaos decomposition
    Authors:
    Radosław Adamczak
    Academic press:
    Electronic Journal of Probability (rok: 2020, tom: 25, strony: 45319), Wydawca: The Institute of Mathematical Statistics and the Bernoulli Society
    Status:
    Published
    DOI:
    10.1214/20-EJP538 - link to the publication
  17. Limit theorems for the volumes of small codimensional random sections of l_p^n balls
    Authors:
    Radosław Adamczak, Peter Pivovarov, Paul Simanjuntak
    Academic press:
    Annals of Probability , Wydawca: Institute of Mathematical Statistics
    Status:
    Submitted
    DOI:
    brak - link to the publication

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