Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

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Optimal concentration inequalities

2018/31/D/ST1/01355

Keywords:

concentration of measure infimum convolution

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 Piotr Nayar 

Number of co-investigators in the project: 4

Call: SONATA 14 - announced on 2018-09-14

Amount awarded: 571 920 PLN

Project start date (Y-m-d): 2019-07-04

Project end date (Y-m-d): 2024-07-03

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

Project status: Pending project

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.

Information in the final report

  • Publication in academic press/journals (8)
  • Book publications / chapters in book publications (1)
  1. From the Bernoulli factory to a dice enterprise via perfect sampling of Markov chains
    Authors:
    Krzysztof Łatuszyński, Piotr Nayar, Giulio Morina, Alex Wendland
    Academic press:
    Annals of Applied Probability (rok: 2022, tom: 32 (1), strony: 327-359), Wydawca: Institute of Mathematical Statistics
    Status:
    Published
    DOI:
    10.1214/21-AAP1679 - link to the publication
  2. Rényi Entropy and Variance Comparison for Symmetric Log-Concave Random Variables
    Authors:
    Maciej Białobrzeski, Piotr Nayar
    Academic press:
    IEEE Transactions on Information Theory (rok: 2023, tom: 69 (6), strony: 3431-3438), Wydawca: IEEE Information Theory Society
    Status:
    Published
    DOI:
    10.1109/TIT.2023.3243956 - link to the publication
  3. Sharp Moment-Entropy Inequalities and Capacity Bounds for Symmetric Log-Concave Distributions
    Authors:
    Mokshay Madiman, Piotr Nayar, Tomasz Tkocz
    Academic press:
    IEEE Transactions on Information Theory (rok: 2021, tom: 67 (1), strony: 81-94), Wydawca: IEEE Information Theory Society
    Status:
    Published
    DOI:
    10.1109/TIT.2020.3032371 - link to the publication
  4. Sharp Variance-Entropy Comparison for Nonnegative Gaussian Quadratic Forms
    Authors:
    M. Bartczak, P. Nayar, S. Zwara
    Academic press:
    IEEE Transactions on Information Theory (rok: 2021, tom: 67 no. 12, strony: 7740-7751), Wydawca: IEEE Information Theory Society
    Status:
    Published
    DOI:
    10.1109/TIT.2021.3113281 - link to the publication
  5. Slicing ℓp-balls reloaded: Stability, planar sections in ℓ1
    Authors:
    Giorgos Chasapis, Piotr Nayar, Tomasz Tkocz
    Academic press:
    Annals of Probability (rok: 2022, tom: 50 (6), strony: 2344-2372), Wydawca: Institute of Mathematical Statistics
    Status:
    Published
    DOI:
    10.1214/22-AOP1584 - link to the publication
  6. Distributional stability of the Szarek and Ball inequalities
    Authors:
    Piotr Nayar, Alexandros Eskenazis, Tomasz Tkocz
    Academic press:
    Mathematische Annalen (rok: 2023, tom: -, strony: -), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-023-02669-9 - link to the publication
  7. Essentially fully anisotropic Orlicz functions and uniqueness to measure data problem
    Authors:
    I. Chlebicka, P. Nayar
    Academic press:
    Mathematical Methods in the Applied Sciences (rok: 2021, tom: special issue, strony: 1–25), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/mma.7278 - link to the publication
  8. Hadamard products and moments of random vectors
    Authors:
    Rafał Latała, Piotr Nayar
    Academic press:
    Advances in Mathematics (rok: 2020, tom: 375, strony: artykuł nr 107414), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2020.107414 - link to the publication
  1. Extremal sections and projections of certain convex bodies: a survey
    Authors:
    Piotr Nayar, Tomasz Tkocz
    Book:
    Harmonic Analysis and Convexity (rok: 2023, tom: -, strony: 343-390), Wydawca: De Gruyter
    Status:
    Published

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