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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Random dynamical systems

2016/21/B/ST1/00033

Keywords:

random dynamical systems Markov processes invariant measures

Descriptors:

  • ST1_13: Probability and statistics
  • ST1_9: Operator algebras and functional analysis
  • ST1_10: Ordinary differential equations and dynamical systems

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

woj. pomorskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Tomasz Szarek 

Number of co-investigators in the project: 2

Call: OPUS 11 - announced on 2016-03-15

Amount awarded: 264 040 PLN

Project start date (Y-m-d): 2017-01-17

Project end date (Y-m-d): 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]

  1. Komputer przenośny (16 000 PLN)

Information in the final report

  • Publication in academic press/journals (9)
  1. 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. (rok: 2021, tom: 169, strony: 108964 p. 7), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.spl.2020.108964 - link to the publication
  2. The law of the Iterated Logarithm for random interval homeomorphisms.
    Authors:
    K. Czudek, T. Szarek, H. Wojewódka-Ściążko
    Academic press:
    Israel Journal of Mathematics , Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  3. Generic invariant measures for iterated systems of interval homeomorphisms
    Authors:
    Wojciech Czernous, Tomasz Szarek
    Academic press:
    Archiv der Mathematik (rok: 2020, tom: 114, strony: 445-455), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00013-019-01405-7 - link to the publication
  4. The Central Limit Theorem For Iterated Function Systems on the Circle
    Authors:
    T. Szarek, A. Zdunik
    Academic press:
    Moscow Mathematical Journal (rok: 2021, tom: 21, Number 1, strony: 175-190), Wydawca: Indep. Univ. Mosc. Higher School Econ., Math. Dept.
    Status:
    Published
    DOI:
    brak - link to the publication
  5. The Rate of Convergence for Function Systems on the Circle
    Authors:
    Tomasz Szarek, Anna Zdunik
    Academic press:
    Colloquium Mathematicum (rok: 2020, tom: 159, strony: 77-89), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/cm7650-1-2019 - link to the publication
  6. The Schro"dinger equation with spatial white noise: The average wave function.
    Authors:
    Yu Gu, Tomasz Komorowski, Lenya Ryzhik
    Academic press:
    Journal of Functional Equation (rok: 2018, tom: 274 (7), strony: 2113-2138), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2018.01.015 - link to the publication
  7. 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 (rok: 2017, tom: 355, strony: 1247-1251), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.019 - link to the publication
  8. Central Limit Theorems for some non-stationary Markov chains
    Authors:
    J. Gulgowski, S. Hille, T. Szarek, M. Ziemlańska
    Academic press:
    Studia Mathematica (rok: 2019, tom: 246 n. 2, strony: 109-131), Wydawca: IM PAN
    Status:
    Published
    DOI:
    10.4064/sm170325-8-9 - link to the publication
  9. Ergodicity and Central Limit Theorem for Random Homeomorphisms
    Authors:
    Klaudiusz Czudek, Tomasz Szarek
    Academic press:
    Israel Journal of Mathematics (rok: 2020, tom: 239, strony: 75-98), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11856-020-2046-4 - link to the publication

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