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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Stochastic recursions modeled on the smoothing transform

2012/05/B/ST1/00692

Keywords:

smoothing transform stochastic equation asymptotics stochastic difference equation branching processes

Descriptors:

  • ST1_13: Probability and statistics
  • ST1_8: Analysis

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):

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 (Y-m-d): 2013-01-24

Project end date (Y-m-d): 2016-01-23

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

Project status: Project settled

Equipment purchased [PL]

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

Information in the final report

  • Publication in academic press/journals (14)
  • Book publications / chapters in book publications (1)
  1. 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. (rok: 2015, tom: 63, strony: 41-51), Wydawca: Polska Akademia Nauk
    Status:
    Published
    DOI:
    10.4064/ba63-1-6 - link to the publication
  2. Optimal criteria for blowup of radial and N-symmetric solutions of chemotaxis systems
    Authors:
    Piotr Biler, Grzegorz Karch, Jacek Zienkiewicz
    Academic press:
    Nonlinearity (rok: 2015, tom: 28, strony: 4369-4387), Wydawca: IOPScience
    Status:
    Published
    DOI:
    10.1088/0951-7715/28/12/4369 - link to the publication
  3. Precise tail asymptotics of fixed points of the smoothing transform with general weights
    Authors:
    D. Buraczewski, E. Damek, J. Zienkiewicz
    Academic press:
    Bernoulli (rok: 2015, tom: 21(1), strony: 489-504), Wydawca: Project euclid
    Status:
    Published
    DOI:
    10.3150/13-BEJ576 - link to the publication
  4. Functional limit theorems for divergent perpetuities in the contractive case
    Authors:
    Dariusz Buraczewski, Alexander Iksanov
    Academic press:
    Electronic Communications in Probability (rok: 2015, tom: 20, strony: 0-15), Wydawca: Institute of Mathematical Statistics (IMS) oraz Bernoulli Society
    Status:
    Published
    DOI:
    10.1214/ECP.vVOL-PID - link to the publication
  5. Linear stochastic equations in the critical case
    Authors:
    Dariusz Buraczewski, Konrad Kolesko
    Academic press:
    Journal of Difference Equations and Applications (rok: 2014, tom: 20 (2), strony: 188-209), Wydawca: Taylor & Francis Group
    Status:
    Published
    DOI:
    10.1080/10236198.2013.822494 - link to the publication
  6. Moment estimates for chaoses generated by symmetric random variables with logarithmically convex tails
    Authors:
    Konrad Kolesko, Rafał Latała
    Academic press:
    Statistics & Probability Letters (rok: 2015, tom: 107, strony: 210-214), Wydawca: ScienceDirect
    Status:
    Published
    DOI:
    10.1016/j.spl.2015.08.019 - link to the publication
  7. On unbounded invariant measures of stochastic dynamical systems
    Authors:
    Sara Brofferio, Dariusz Buraczewski
    Academic press:
    Annals of Probability (rok: 2015, tom: 43(3), strony: 1456-1492), Wydawca: Project euclid
    Status:
    Published
    DOI:
    10.1214/13-AOP903 - link to the publication
  8. Fixed points of the multivariate smoothing transform: the critical case
    Authors:
    Konrad Kolesko, Sebastian Mentemeier
    Academic press:
    Electronic Journal of Probability (rok: 2015, tom: 20(52), strony: 45315), Wydawca: Institute of Mathematical Statistics
    Status:
    Published
    DOI:
    10.1214/EJP.v20-4022 - link to the publication
  9. General Inverse Problems for Regular Variation
    Authors:
    Ewa Damek, Thomas Mikosch, Jan Rosiński, Gennady Samorodnitsky
    Academic press:
    Journal of Applied Probability (rok: 2014, tom: 51A, strony: 229-248), Wydawca: Applied Probability Trust
    Status:
    Published
    DOI:
    10.1239/jap/1417528478 - link to the publication
  10. Heavy tailed solutions of multivariate smoothing transforms
    Authors:
    Dariusz Buraczewski, Ewa Damek, Sebastian Mentemeier, Mariusz Mirek
    Academic press:
    Stochastic Processes and their Applications (rok: 2013, tom: 123 (6), strony: 1947-1986), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spa.2013.02.003 - link to the publication
  11. A Characterization of Hardy Spaces Associated with Certain Schrödinger Operators
    Authors:
    Jacek Dziubański, Jacek Zienkiewicz
    Academic press:
    Potential Analysis (rok: 2014, tom: 41(3), strony: 917-930), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11118-014-9400-2 - link to the publication
  12. On multidimensional Mandelbrot cascades
    Authors:
    Dariusz Buraczewski, Ewa Damek, Yves Guivarc'h, Sebastian Mentemeier
    Academic press:
    Journal of Difference Equations and Applications (rok: 2014, tom: 20, strony: 1523-1567), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/10236198.2014.950259 - link to the publication
  13. 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 (rok: 2016, tom: 52, strony: 1474-1513), Wydawca: Project Euclid
    Status:
    Published
    DOI:
    10.1214/15-AIHP684 - link to the publication
  14. 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 (rok: 2014, tom: 125, strony: 1688–1713), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spa.2014.11.012 - link to the publication
  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 (rok: 2013, tom: 53, strony: 137-157), Wydawca: Springer
    Status:
    Published
    DOI:
    link to the publication

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