Random dynamical systems
2016/21/B/ST1/00033
Keywords
Descriptors
- ST1_13: Rachunek prawdopodobieństwa i statystyka matematyczna
- ST1_9: Algebry operatorowe i analiza funkcjonalna
- ST1_10: Równania różniczkowe zwyczajne i układy dynamiczne
Panel
ST1 – Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics
Host institution
Uniwersytet Gdański, Wydział Matematyki, Fizyki i Informatyki
Voivodeship: pomorskie
Principal investigator (from the host institution)
Number of co-investigators in the project: 2
Call
OPUS 11 – announced on 2016-03-15
- Amount awarded
- 264 040 PLN
- Project start date
- 2017-01-17
- Project end date
- 2021-01-16
- Project duration
- 48 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: 16 000 PLN
Information in the final report
Publication in academic press/journals (9)
-
The Rate of Convergence for Function Systems on the Circle
- Authors:
- Tomasz Szarek, Anna Zdunik
- Academic press:
- Colloquium Mathematicum (year: 2020, volume: 159, pages: 77-89), Publisher: IMPAN
- Status:
- Published
- DOI:
- 10.4064/cm7650-1-2019 – link to the publication
-
The Schrodinger equation with spatial white noise: The average wave function.
- Authors:
- Yu Gu, Tomasz Komorowski, Lenya Ryzhik
- Academic press:
- Journal of Functional Equation (year: 2018, volume: 274 (7), pages: 2113-2138), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.jfa.2018.01.015 – link to the publication
-
Equivalence of equicontinuity concepts for Markov operators derived from a Schur-like property for spaces of measures.
- Authors:
- S. Hille, T. Szarek, D. Worm, M. Ziemlańska
- Academic press:
- Statist. Probably. Lett. (year: 2021, volume: 169, pages: 108964 p. 7), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.spl.2020.108964 – link to the publication
-
Ergodicity and Central Limit Theorem for Random Homeomorphisms
- Authors:
- Klaudiusz Czudek, Tomasz Szarek
- Academic press:
- Israel Journal of Mathematics (year: 2020, volume: 239, pages: 75-98), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s11856-020-2046-4 – link to the publication
-
Central Limit Theorems for some non-stationary Markov chains
- Authors:
- J. Gulgowski, S. Hille, T. Szarek, M. Ziemlańska
- Academic press:
- Studia Mathematica (year: 2019, volume: 246 n. 2, pages: 109-131), Publisher: IM PAN
- Status:
- Published
- DOI:
- 10.4064/sm170325-8-9 – link to the publication
-
Equicontinuous families of Markov operators in view of asymptotic stability
- Authors:
- S. Hille, T. Szarek, M. Ziemlańska
- Academic press:
- C.R. Acad. Sci. Paris, Ser. I (year: 2017, volume: 355, pages: 1247-1251), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.crma.2017.10.019 – link to the publication
-
Generic invariant measures for iterated systems of interval homeomorphisms
- Authors:
- Wojciech Czernous, Tomasz Szarek
- Academic press:
- Archiv der Mathematik (year: 2020, volume: 114, pages: 445-455), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s00013-019-01405-7 – link to the publication
-
The Central Limit Theorem For Iterated Function Systems on the Circle
- Authors:
- T. Szarek, A. Zdunik
- Academic press:
- Moscow Mathematical Journal (year: 2021, volume: 21, Number 1, pages: 175-190), Publisher: Indep. Univ. Mosc. Higher School Econ., Math. Dept.
- Status:
- Published
-
The law of the Iterated Logarithm for random interval homeomorphisms.
- Authors:
- K. Czudek, T. Szarek, H. Wojewódka-Ściążko
- Status:
- Accepted for publication