Lévy processes with completely monotone jumps
2015/19/B/ST1/01457
Keywords
Descriptors
- ST1_13: Rachunek prawdopodobieństwa i statystyka matematyczna
- ST1_11: Równania różniczkowe cząstkowe
Panel
ST1 – Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics
Host institution
Politechnika Wrocławska, Wydział Matematyki
Voivodeship: dolnośląskie
Principal investigator (from the host institution)
dr hab. Mateusz Stefan Kwaśnicki
Number of co-investigators in the project: 4
Call
OPUS 10 – announced on 2015-09-15
- Amount awarded
- 427 200 PLN
- Project start date
- 2016-06-22
- Project end date
- 2019-10-21
- Project duration
- 40 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.
Equipment purchased [PL]
- Komputer przenośny. Cost: 6 000 PLN
Information in the final report
Publication in academic press/journals (9)
-
On the lp-norm of the discrete Hilbert transform
- Authors:
- Rodrigo Bañuelos, Mateusz Kwaśnicki
- Academic press:
- Duke Mathematical Journal (year: 2019, volume: 168(3), pages: 471-504), Publisher: Duke University Press
- Status:
- Published
- DOI:
- 10.1215/00127094-2018-0047 – link to the publication
-
Extension technique for complete Bernstein functions of the Laplace operator
- Authors:
- Mateusz Kwaśnicki, Jacek Mucha
- Academic press:
- Journal of Evolution Equations (year: 2018, volume: 18(3), pages: 1341-1379), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s00028-018-0444-4 – link to the publication
-
Fluctuation theory for Lévy processes with completely monotone jumps
- Authors:
- Mateusz Kwaśnicki
- Academic press:
- Electronic Journal of Probability (year: 2019, volume: 24(40), pages: 14611), Publisher: Institute of Mathematical Statistics
- Status:
- Published
- DOI:
- 10.1214/19-EJP300 – link to the publication
-
Spectral theory for one-dimensional (non-symmetric) stable processes killed upon hitting the origin
- Authors:
- Jacek Mucha
- Academic press:
- Electronic Journal of Probability (year: 2021, volume: 26(14), pages: 12055), Publisher: Institute of Mathematical Statistics
- Status:
- Published
- DOI:
- 10.1214/21-EJP594 – link to the publication
-
Density behaviour related to Lévy processes
- Authors:
- Loïc Chaumont, Jacek Małecki
- Academic press:
- Transactions of the American Mathematical Society (year: 2021, volume: 374, pages: 1919-1945), Publisher: American Mathematical Society
- Status:
- Published
- DOI:
- 10.1090/tran/8268 – link to the publication
-
The entrance law of the excursion measure of the reflected process for some classes of Lévy processes
- Authors:
- Loïc Chaumont, Jacek Małecki
- Academic press:
- Acta Applicandae Mathematicae (year: 2020, volume: 169, pages: 59-77), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s10440-019-00288-8 – link to the publication
-
A new class of bell-shaped functions
- Authors:
- Mateusz Kwaśnicki
- Academic press:
- Transactions of the American Mathematical Society (year: 2020, volume: 373(4), pages: 2255-2280), Publisher: American Mathematical Society
- Status:
- Published
- DOI:
- 10.1090/tran/7825 – link to the publication
-
Random walks are determined by their trace on the positive half-line
- Authors:
- Mateusz Kwaśnicki
- Academic press:
- Annales Henri Lebesgue (year: 2020, volume: 3, pages: 1389-1397), Publisher: Annales Henri Lebesgue
- Status:
- Published
- DOI:
- 10.5802/ahl.64 – link to the publication
-
The decay rate of harmonic functions for non-symmetric strictly alpha-stable Lévy processes
- Authors:
- Tomasz Juszczyszyn
- Status:
- Accepted for publication