Martingale and concentration inequalities

2015/19/N/ST1/00891

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 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: 2016-06-28
Project end date: 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]

Laptop. Cost: 6 000 PLN

Information in the final report

Publication in academic press/journals (6)

Hardy's operator minus identity and power weights

Authors:
Michał Strzelecki

Academic press:
Journal of Functional Analysis (year: 2020, volume: 279, pages: 34 pp.), Publisher: Elsevier

Status:
Published

DOI:
10.1016/j.jfa.2020.108532 – link to the publication
On the convex Poincaré inequality and weak transportation inequalities

Authors:
Radosław Adamczak, Michał Strzelecki

Academic press:
Bernoulli (year: 2019, volume: 25, pages: 341-374), Publisher: Bernoulli Society for Mathematical Statistics and Probability

Status:
Published

DOI:
10.3150/17-BEJ989 – link to the publication
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
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 (year: 2017, volume: 14, pages: 903-915), Publisher: Instituto de Matemática Pura e Aplicada

Status:
Published

DOI:
10.30757/ALEA.v14-39 – link to the publication
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 (year: 2018, volume: 54, pages: 2075-2091), Publisher: Institut Henri Poincaré

Status:
Published

DOI:
10.1214/17-AIHP865 – link to the publication
Functional inequalities for two-level concentration

Authors:
Franck Barthe, Michał Strzelecki

Status:
Accepted for publication

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