Stochastic recursions modeled on the smoothing transform

2012/05/B/ST1/00692

Keywords

Descriptors

  • ST1_13: Rachunek prawdopodobieństwa i statystyka matematyczna
  • ST1_8: 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: 4

Call

OPUS 3 – announced on 2012-03-15

Amount awarded
286 900 PLN
Project start date
2013-01-24
Project end date
2016-01-23
Project duration
36 months (the same as in the proposal)
Project status
Project settled

Equipment purchased [PL]

  1. drukarka laserowa. Cost: 850 PLN
  2. komputer przenośny (laptop). Cost: 9 000 PLN

Information in the final report

Publication in academic press/journals (14)

  1. Optimal criteria for blowup of radial and N-symmetric solutions of chemotaxis systems

    Authors:
    Piotr Biler, Grzegorz Karch, Jacek Zienkiewicz
    Academic press:
    Nonlinearity (year: 2015, volume: 28, pages: 4369-4387), Publisher: IOPScience
    Status:
    Published
    DOI:
    10.1088/0951-7715/28/12/4369 – link to the publication
  2. Functional limit theorems for divergent perpetuities in the contractive case

    Authors:
    Dariusz Buraczewski, Alexander Iksanov
    Academic press:
    Electronic Communications in Probability (year: 2015, volume: 20, pages: 0-15), Publisher: Institute of Mathematical Statistics (IMS) oraz Bernoulli Society
    Status:
    Published
    DOI:
    10.1214/ECP.vVOL-PID – link to the publication
  3. Fixed points of the multivariate smoothing transform: the critical case

    Authors:
    Konrad Kolesko, Sebastian Mentemeier
    Academic press:
    Electronic Journal of Probability (year: 2015, volume: 20(52), pages: 46046), Publisher: Institute of Mathematical Statistics
    Status:
    Published
    DOI:
    10.1214/EJP.v20-4022 – link to the publication
  4. Precise tail asymptotics of fixed points of the smoothing transform with general weights

    Authors:
    D. Buraczewski, E. Damek, J. Zienkiewicz
    Academic press:
    Bernoulli (year: 2015, volume: 21(1), pages: 489-504), Publisher: Project euclid
    Status:
    Published
    DOI:
    10.3150/13-BEJ576 – link to the publication
  5. Two-sided bounds for Lp-norms of combinations of products of independent random variables

    Authors:
    Ewa Damek, Rafał Latała, Piotr Nayar, Tomasz Tkocz
    Academic press:
    Stochastic Processes and their Applications (year: 2014, volume: 125, pages: 1688–1713), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spa.2014.11.012 – link to the publication
  6. A Characterization of Hardy Spaces Associated with Certain Schrödinger Operators

    Authors:
    Jacek Dziubański, Jacek Zienkiewicz
    Academic press:
    Potential Analysis (year: 2014, volume: 41(3), pages: 917-930), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s11118-014-9400-2 – link to the publication
  7. Precise large deviation results for products of random matrices

    Authors:
    Dariusz Buraczewski, Sebastian Mentemeier
    Academic press:
    Annales de l'Institut Henri Poincaré, Probabilités et Statistiques (year: 2016, volume: 52, pages: 1474-1513), Publisher: Project Euclid
    Status:
    Published
    DOI:
    10.1214/15-AIHP684 – link to the publication
  8. Heavy tailed solutions of multivariate smoothing transforms

    Authors:
    Dariusz Buraczewski, Ewa Damek, Sebastian Mentemeier, Mariusz Mirek
    Academic press:
    Stochastic Processes and their Applications (year: 2013, volume: 123 (6), pages: 1947-1986), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spa.2013.02.003 – link to the publication
  9. On multidimensional Mandelbrot cascades

    Authors:
    Dariusz Buraczewski, Ewa Damek, Yves Guivarc'h, Sebastian Mentemeier
    Academic press:
    Journal of Difference Equations and Applications (year: 2014, volume: 20, pages: 1523-1567), Publisher: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/10236198.2014.950259 – link to the publication
  10. Linear stochastic equations in the critical case

    Authors:
    Dariusz Buraczewski, Konrad Kolesko
    Academic press:
    Journal of Difference Equations and Applications (year: 2014, volume: 20 (2), pages: 188-209), Publisher: Taylor & Francis Group
    Status:
    Published
    DOI:
    10.1080/10236198.2013.822494 – link to the publication
  11. On unbounded invariant measures of stochastic dynamical systems

    Authors:
    Sara Brofferio, Dariusz Buraczewski
    Academic press:
    Annals of Probability (year: 2015, volume: 43(3), pages: 1456-1492), Publisher: Project euclid
    Status:
    Published
    DOI:
    10.1214/13-AOP903 – link to the publication
  12. Existence of Solutions for the Keller–Segel Model of Chemotaxis with Measures as Initial Data

    Authors:
    Piotr Biler, Jacek Zienkiewicz
    Academic press:
    Bulletin Polish Acad. Sci. Math. (year: 2015, volume: 63, pages: 41-51), Publisher: Polska Akademia Nauk
    Status:
    Published
    DOI:
    10.4064/ba63-1-6 – link to the publication
  13. General Inverse Problems for Regular Variation

    Authors:
    Ewa Damek, Thomas Mikosch, Jan Rosiński, Gennady Samorodnitsky
    Academic press:
    Journal of Applied Probability (year: 2014, volume: 51A, pages: 229-248), Publisher: Applied Probability Trust
    Status:
    Published
    DOI:
    10.1239/jap/1417528478 – link to the publication
  14. Moment estimates for chaoses generated by symmetric random variables with logarithmically convex tails

    Authors:
    Konrad Kolesko, Rafał Latała
    Academic press:
    Statistics & Probability Letters (year: 2015, volume: 107, pages: 210-214), Publisher: ScienceDirect
    Status:
    Published
    DOI:
    10.1016/j.spl.2015.08.019 – link to the publication

Book publications / chapters in book publications (1)

  1. On Solutions of the Affine Recursion and the Smoothing Transform in the Critical Case

    Authors:
    Sara Brofferio, Dariusz Buraczewski, Ewa Damek
    Book:
    Random Matrices and Iterated Random Functions (year: 2013, volume: 53, pages: 137-157), Publisher: Springer
    Status:
    Published
    DOI:
    link to the publication

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