Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Yaglom limits for multidimensional Lévy processes

2021/41/N/ST1/04139

Keywords:

granica Jagłoma rozkład kwazi-stacjonarny wielowymiarowy proces Lévy'ego

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 :

Politechnika Wrocławska

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Łukasz Leżaj 

Number of co-investigators in the project: 2

Call: PRELUDIUM 20 - announced on 2021-03-15

Amount awarded: 92 720 PLN

Project start date (Y-m-d): 2022-07-15

Project end date (Y-m-d): 2025-07-14

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. Non-symmetric stable processes: Dirichlet heat kernel, Martin kernel and Yaglom limit
    Authors:
    Łukasz Leżaj
    Academic press:
    Stochastic Processes and their Applications (rok: 2024, tom: 174, strony: 104362), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spa.2024.104362 - link to the publication
  2. Self-similar solution for fractional Laplacian in cones
    Authors:
    Krzysztof Bogdan, Piotr Knosalla, Łukasz Leżaj, Dominika Pilarczyk
    Academic press:
    Electronic Journal of Probability (rok: 2024, tom: 29, strony: 46046), Wydawca: Institute of Mathematical Statistics, Bernoulli Society
    Status:
    Published
    DOI:
    10.1214/24-EJP1111 - link to the publication