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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Markovian structures with heavy tails

2020/39/D/ST1/00258

Keywords:

Branching random walk Branching Levy process Ito integrals subexponential distribution large and moderate deviations point processes multivariate extremes

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 Wrocławski, Wydział Matematyki i Informatyki

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Piotr Ryszard Dyszewski 

Number of co-investigators in the project: 3

Call: SONATA 16 - announced on 2020-09-15

Amount awarded: 251 496 PLN

Project start date (Y-m-d): 2021-10-01

Project end date (Y-m-d): 2025-07-31

Project duration:: 46 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.

Information in the final report

  • Publication in academic press/journals (3)
  1. Branching random walk and log-slowly varying tails
    Authors:
    A. Bhattacharya, P. Dyszewski, N. Gantert, Z. Palmowski
    Academic press:
    Latin American Journal of Probability and Mathematical Statistics (rok: 2025, tom: 22, strony: 473–491), Wydawca: Instituto Nacional de Matemática Pura e Aplicada (IMPA)
    Status:
    Published
    DOI:
    10.30757/ALEA.v22-17 - link to the publication
  2. Random planar trees and the Jacobian conjecture
    Authors:
    E. Bisi, P. Dyszewski, N. Gantert, S. G. G. Johnston, J. Prochno, D. Schmid
    Academic press:
    Journal of the London Mathematical Society (rok: 2026, tom: 113, strony: e70416), Wydawca: John Wiley & Sons Ltd
    Status:
    Published
    DOI:
    10.1112/jlms.70416 - link to the publication
  3. The extremal point process for branching random walk with stretched exponential displacements
    Authors:
    P. Dyszewski, N. Gantert
    Status:
    Accepted for publication