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The concentration of measure phenomenon

2015/18/E/ST1/00214

Keywords

Descriptors

  • ST1_13: Rachunek prawdopodobieństwa i statystyka matematyczna
  • ST1_8: Analiza

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

Voivodeship: 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
2016-04-12
Project end date
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. Komputer typu laptop (2 pcs). Cost: 12 000 PLN
  2. Laptop.
  3. Monitor.
  4. Oprogramowanie Mathematica. Cost: 7 000 PLN
  5. Tablet.
  6. Tablet graficzny.

Information in the final report

Publication in academic press/journals (14)

  1. General Bernstein-Like Inequality for Additive Functionals of Markov Chains

    Authors:
    Michał Lemańczyk
    Academic press:
    Journal of Theoretical Probability (year: 2021, volume: 34, pages: 1426-1454), Publisher: SPRINGER/PLENUM PUBLISHERS
    Status:
    Published
    DOI:
    10.1007/s10959-020-01006-z – link to the publication

  2. 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 (year: 2021, volume: Vol.10,No.03, pages: 2250002), Publisher: World Scientific
    Status:
    Published
    DOI:
    10.1142/S2010326322500022 – link to the publication

  3. 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 (year: 2021, volume: 57(1), pages: 273-325), Publisher: The Institute of Mathematical Statistics and the Bernoulli Society
    Status:
    Published
    DOI:
    10.1214/20-AIHP1079 – link to the publication

  4. On almost sure convergence of random variables with finite chaos decomposition

    Authors:
    Radosław Adamczak
    Academic press:
    Electronic Journal of Probability (year: 2020, volume: 25, pages: 46050), Publisher: The Institute of Mathematical Statistics and the Bernoulli Society
    Status:
    Published
    DOI:
    10.1214/20-EJP538 – link to the publication

  5. Modified log-Sobolev inequalities, Beckner inequalities and moment estimates

    Authors:
    Radosław Adamczak, Bartłomiej Polaczyk, Michał Strzelecki
    Academic press:
    Journal of Functional Analysis (year: 2022, volume: Vol. 282, Iss. 7, pages: 109349), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2021.109349 – link to the publication

  6. Hereditary subshifts whose measure of maximal entropy has no Gibbs property

    Authors:
    Joanna Kułaga-Przymus, Michał Lemańczyk
    Academic press:
    Colloquium Mathematicum (year: 2021, volume: 166, pages: 107-127), Publisher: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm8223-11-2020 – link to the publication

  7. Moments of Gaussian chaoses in Banach spaces

    Authors:
    Radosław Adamczak, Rafał Latała, Rafał Meller
    Academic press:
    Electronic Journal of Probability (year: 2021, volume: 26, pages: 13150), Publisher: The Institute of Mathematical Statistics and the Bernoulli Society
    Status:
    Published
    DOI:
    10.1214/20-EJP567 – link to the publication

  8. Concentration of the empirical spectral distribution of random matrices with dependent entries

    Authors:
    Bartłomiej Polaczyk
    Academic press:
    Electronic Communications in Probability (year: 2019, volume: 24, pages: 46037), Publisher: The Institute of Mathematical Statistics and the Bernoulli Society
    Status:
    Published
    DOI:
    10.1214/19-ECP277 – link to the publication

  9. 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 (year: 2019, volume: 24, pages: 17533), Publisher: The Institute of Mathematical Statistics and The Bernoulli Society
    Status:
    Published
    DOI:
    10.1214/19-EJP366 – 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 (year: 2020, volume: 56, pages: 2356-2376), Publisher: Institut Henri Poincaré
    Status:
    Published
    DOI:
    10.1214/19-AIHP1041 – link to the publication

  11. Metric and classical fidelity uncertainty relations for random unitary matrices

    Authors:
    Radosław Adamczak
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (year: 2017, volume: 50, pages: 105302), Publisher: IOP Publishing LTD
    Status:
    Published
    DOI:
    10.1088/1751-8121/aa5662 – link to the publication

  12. On the convex Poincare inequality and weak transportation inequalities

    Authors:
    Radosław Adamczak, Michał Strzelecki
    Academic press:
    Bernoulli (year: 2019, volume: Vol. 25 No. 1, pages: 341-374), Publisher: Bernoulli Society for Mathematical Statistics and Probability
    Status:
    Published
    DOI:
    10.3150/17-BEJ989 – link to the publication

  13. 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 (year: 2019, volume: 24, pages: 46044), Publisher: The Institute of Mathematical Statistics and the Bernoulli Society
    Status:
    Published
    DOI:
    10.1214/19-EJP280 – link to the publication

  14. Norms of structured random matrices

    Authors:
    Radosław Adamczak, Joscha Prochno, Marta Strzelecka, Michał Strzelecki
    Status:
    Accepted for publication

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