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
Principal investigator (from the host institution)
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]
- drukarka laserowa. Cost: 850 PLN
- komputer przenośny (laptop). Cost: 9 000 PLN
Information in the final report
Publication in academic press/journals (14)
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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)
-
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