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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Non-random equivalent characterizations of sample boundedness

2022/47/B/ST1/02114

Keywords:

Stochastic Processes Path Properties Sample Boundedness Process Supremum Mean Value Canonical Processes Empirical Processes Selectors Sudakov Minoration Truncated Variation

Descriptors:

  • ST1_013:

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):

prof. Witold Marek Bednorz 

Number of co-investigators in the project: 3

Call: OPUS 24 - announced on 2022-07-15

Amount awarded: 397 000 PLN

Project start date (Y-m-d): 2023-06-27

Project end date (Y-m-d): 2026-06-26

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

Project status: Project completed

Project description

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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 (2)
  1. Local times of deterministic paths and self-similar processes with stationary increments as normalized numbers of interval crossings
    Authors:
    Witold Bednorz Purba Das Rafał Łochowski
    Academic press:
    AIHP (rok: 2025, tom: 62, strony: 523-547), Wydawca: IMS
    Status:
    Published
    DOI:
    10.1214/24-AIHP1519 - link to the publication
  2. BDG inequalities and their applications for model-free continuous price paths with instant enforcement
    Authors:
    Rafał Łochowski
    Academic press:
    Modern Stochastics (rok: 2023, tom: 10, strony: 425-457), Wydawca: VMSTA
    Status:
    Published
    DOI:
    10.15559/23-VMSTA233 - link to the publication