Random processes in random environment

2020/39/B/ST1/00209

Keywords

Descriptors

  • ST1_013: Rachunek prawdopodobieństwa i statystyka matematyczna
  • ST1_008: 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 Wrocławski, Wydział Matematyki i Informatyki

Voivodeship: dolnośląskie

Other projects carried out by the institution »

Principal investigator (from the host institution)

prof. Dariusz Buraczewski

Number of co-investigators in the project: 5

Call

OPUS 20 – announced on 2020-09-15

Amount awarded
463 248 PLN
Project start date
2021-07-02
Project end date
2026-07-01
Project duration
60 months (the same as in the proposal)
Project status
Pending project

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 (5)

  1. Weak quenched limit theorems for a random walk in a sparse random environment

    Authors:
    Dariusz Buraczewski, Piotr Dyszewski, Alicja Kołodziejska
    Academic press:
    Electronic Journal of Probability (year: 2024, volume: 29, pages: 46052), Publisher: Institute of Mathematical Statistics and Bernoulli Society
    Status:
    Published
    DOI:
    10.1214/23-EJP1070 – link to the publication
  2. Laws of the iterated and single logarithm for sums of independent indicators, with applications to the Ginibre point process and Karlin's occupancy scheme

    Authors:
    Dariusz Buraczewski, Alexander Iksanov, Valeriya Kotelnikova
    Academic press:
    Stochastic Processes and their Applications (year: 2025, volume: 183, pages: 104597), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spa.2025.104597 – link to the publication
  3. On favourite sites of a random walk in moderately sparse random environment

    Authors:
    Alicja Kołodziejska
    Academic press:
    Stochastic Processes and their Applications (year: 2025, volume: 190, pages: 23), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spa.2025.104760 – link to the publication
  4. Solutions of kinetic-type equations with perturbed collisions

    Authors:
    Dariusz Buraczewski, Piotr Dyszewski, Alexander Marynych
    Academic press:
    Stochastic Processes and their Applications (year: 2023, volume: 159, pages: 199-224), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spa.2023.01.014 – link to the publication
  5. Convolution powers of unbounded measures on the positive half-line

    Authors:
    Dariusz Buraczewski, Alexander Iksanov, Alexander Marynych
    Academic press:
    Journal of Mathematical Analysis and Applications (year: 2025, volume: 546, pages: 129232), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2025.129232 – link to the publication

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Graphic design and implementation: Jakub Piotrowski