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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Study of Bernoulli processes and Gaussian chaos

2018/31/N/ST1/03982

Keywords:

concentration of measure chaining methods suprema of stochastic processes Sudakov minoration

Descriptors:

  • ST1_13: Probability and statistics

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):

Rafał Martynek 

Number of co-investigators in the project: 2

Call: PRELUDIUM 16 - announced on 2018-09-14

Amount awarded: 79 520 PLN

Project start date (Y-m-d): 2019-07-08

Project end date (Y-m-d): 2022-10-07

Project duration:: 39 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.

Information in the final report

  • Publication in academic press/journals (2)
  1. Optimal uniform approximation of Lévy processes on Banach spaces with finite variation processes
    Authors:
    W. Bednorz, R. Łochowski, R. Martynek
    Academic press:
    ESAIM: Probability and Statistics (rok: 2022, tom: 26, strony: 378-396), Wydawca: EDP Sciences
    Status:
    Published
    DOI:
    10.1051/ps/2022011 - link to the publication
  2. The suprema of infinitely divisible processes
    Authors:
    Witold Bednorz, Rafał Martynek
    Academic press:
    Annals of Probability (rok: 2022, tom: 50, strony: 397-417), Wydawca: Institute of Mathematical Statistics (United States)
    Status:
    Published
    DOI:
    10.1214/21-AOP1546 - link to the publication