Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

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Ergodic and Topological Properties of Dynamical Systems with Specification-like Properties

2015/19/N/ST1/00872

Keywords:

specification entropy measures

Descriptors:

  • 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 Jagielloński, Wydział Matematyki i Informatyki

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Martha Łącka 

Number of co-investigators in the project: 2

Call: PRELUDIUM 10 - announced on 2015-09-15

Amount awarded: 80 400 PLN

Project start date (Y-m-d): 2016-07-07

Project end date (Y-m-d): 2019-07-06

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

Project status: Project settled

Project description

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Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (4)
  1. Uniform continuity of entropy on the regular points endowed with f-bar
    Authors:
    Tomasz Downarowicz, Dominik Kwietniak, Martha Łącka
    Academic press:
    IEEE Transactions on Information Theory , Wydawca: IEEE Information Theory Society
    Status:
    Submitted
  2. Generic points of invariant measures for an amenable residually finite group actions with the weak specification property
    Authors:
    Martha Łącka
    Academic press:
    J. Math. Anal. Appl. (rok: 2017, tom: 455 (2), strony: 1614-1626), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2017.06.066 - link to the publication
  3. Quasi-uniform Convergence in Dynamical Systems Generated by an Amenable Group Action
    Authors:
    M. Łącka, M. Straszak
    Academic press:
    Journal of the London Mathematical Society (rok: 2018, tom: 98, strony: 687-707), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1112/jlms.12157 - link to the publication
  4. Royal nonhyprbolic measures are loosely Kronecker: an application of the Feldman-Katok pseudometric (pierwotny tytuł preprintu: Feldman-Katok pseudometric and the GIKN construction of nonhyperbolic ergodic measures)
    Authors:
    D. Kwietniak, M. Łącka
    Academic press:
    Inventiones Mathematicae (rok: 2017, tom: brak, strony: brak), Wydawca: Springer
    Status:
    Submitted