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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Martingale and concentration inequalities

2015/19/N/ST1/00891

Keywords:

martingale inequalities harmonic analysis concentration inequalities

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 Michał Strzelecki 

Number of co-investigators in the project: 2

Call: PRELUDIUM 10 - announced on 2015-09-15

Amount awarded: 85 080 PLN

Project start date (Y-m-d): 2016-06-28

Project end date (Y-m-d): 2020-06-27

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. Laptop (6 000 PLN)

Information in the final report

  • Publication in academic press/journals (7)
  1. On the convex infimum convolution inequality with optimal cost function
    Authors:
    Marta Strzelecka, Michał Strzelecki, Tomasz Tkocz
    Academic press:
    ALEA. Latin American Journal of Probability and Mathematical Statistics (rok: 2017, tom: 14, strony: 903-915), Wydawca: Instituto de Matemática Pura e Aplicada
    Status:
    Published
    DOI:
    10.30757/ALEA.v14-39 - link to the publication
  2. Modified log-Sobolev inequalities, Beckner inequalities and moment estimates
    Authors:
    Radosław Adamczak, Bartłomiej Polaczyk, Michał Strzelecki
    Academic press:
    Journal of Functional Analysis , Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  3. On the convex Poincaré inequality and weak transportation inequalities
    Authors:
    Radosław Adamczak, Michał Strzelecki
    Academic press:
    Bernoulli (rok: 2019, tom: 25, strony: 341-374), Wydawca: Bernoulli Society for Mathematical Statistics and Probability
    Status:
    Published
    DOI:
    10.3150/17-BEJ989 - link to the publication
  4. A characterization of a class of convex log-Sobolev inequalities on the real line
    Authors:
    Yan Shu, Michał Strzelecki
    Academic press:
    Annales de l'Institut Henri Poincaré, Probabilités et Statistiques (rok: 2018, tom: 54, strony: 2075-2091), Wydawca: Institut Henri Poincaré
    Status:
    Published
    DOI:
    10.1214/17-AIHP865 - link to the publication
  5. 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
  6. Hardy's operator minus identity and power weights
    Authors:
    Michał Strzelecki
    Academic press:
    Journal of Functional Analysis (rok: 2020, tom: 279, strony: 34 pp.), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2020.108532 - link to the publication
  7. Functional inequalities for two-level concentration
    Authors:
    Franck Barthe, Michał Strzelecki
    Academic press:
    Potential Analysis , Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    10.1007/s11118-021-09900-9 - link to the publication

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