Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

Inequalities for log-concave vectors

2015/19/N/ST1/02661

Keywords:

log-concave vectors concentration inequalities Sudakov-type inequalities comparison of weak nad strong moments

Descriptors:

  • ST1_13: Probability and statistics
  • ST1_9: Operator algebras and functional analysis
  • 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):

Marta Strzelecka 

Number of co-investigators in the project: 2

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

Amount awarded: 54 120 PLN

Project start date (Y-m-d): 2016-07-11

Project end date (Y-m-d): 2019-07-10

Project duration:: 36 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 (3)
  • Book publications / chapters in book publications (1)
  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: 4, strony: 903-915), Wydawca: Rio de Janeiro : IMPA, Instituto Nacional de Matemática Pura e Aplicada
    Status:
    Published
  2. Comparison of weak and strong moments for vectors with independent coordinates
    Authors:
    Rafał Latała, Marta Strzelecka
    Academic press:
    Mathematika (rok: 2018, tom: 64(1), strony: 211-229), Wydawca: London Mathematical Society (University College London)
    Status:
    Published
    DOI:
    10.1112/S0025579317000432 - link to the publication
  3. Estimates of norms of log-concave random matrices with dependent entries
    Authors:
    Marta Strzelecka
    Academic press:
    Electronic Journal of Probability (rok: 2019, tom: 24, strony: 15 pp., paper no 107), Wydawca: The Institute of Mathematical Statistics i the Bernoulli Society
    Status:
    Published
    DOI:
    10.1214/19-EJP365 - link to the publication
  1. Two-Sided Estimates for Order Statistics of Log-Concave Random Vectors
    Authors:
    Rafał Latała, Marta Strzelecka
    Book:
    Geometric Aspects of Functional Analysis Israel Seminar (GAFA) 2017-2019 Volume II, Lecture Notes in Mathematics (rok: 2020, tom: 2266, strony: 65-94), Wydawca: Springer International Publishing
    Status:
    Published