Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

Entropy, shadowing and attractors

2019/35/B/ST1/02239

Keywords:

shadowing pseudo-orbit entropy continuum interval ergodic measure

Descriptors:

  • ST1_6: Topology
  • 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 :

Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie, Wydział Matematyki Stosowanej

woj.

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Piotr Maciej Oprocha 

Number of co-investigators in the project: 2

Call: OPUS 18 - announced on 2019-09-16

Amount awarded: 640 800 PLN

Project start date (Y-m-d): 2020-07-09

Project end date (Y-m-d): 2024-07-08

Project duration:: 48 months (the same as in the proposal)

Project status: Project completed

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.

Information in the final report

  • Publication in academic press/journals (24)
  1. A Cantor dynamical system is slow if and only if all its finite orbits are attracting
    Authors:
    Silvère Gangloff, Piotr Oprocha
    Academic press:
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (rok: 2022, tom: 42, strony: 3039-3064), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcds.2022007 - link to the publication
  2. S-limit shadowing is generic for continuous Lebesgue measure-preserving circle maps
    Authors:
    JOZEF BOBOK, JERNEJ ČINČ, PIOTR OPROCHA, SERGE TROUBETZKOY
    Academic press:
    Ergodic Theory and Dynamical Systems (rok: 2021, )
    Status:
    Published
    DOI:
    10.1017/etds.2021.112 - link to the publication
  3. Metric mean dimension of irregular sets for maps withshadowing
    Authors:
    Magdalena Foryś-Krawiec, Piotr Oprocha
    Academic press:
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS (rok: 2024, tom: jeszcze nie nadane, strony: jeszcze nie nadane), Wydawca: Taylor and Francis
    Status:
    Published
    DOI:
    10.1080/10236198.2024.2302014 - link to the publication
  4. On recurrence and entropy in the hyperspace of continua in dimension one
    Authors:
    Domagoj Jelić, Piotr Oprocha
    Academic press:
    Fundamenta Mathematicae (rok: 2023, tom: 263, strony: 23-50), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/fm235-4-2023 - link to the publication
  5. Parametrized family of pseudo-arc attractors: physical measures and prime end rotations
    Authors:
    Jernej Činč, Piotr Oprocha
    Academic press:
    Proceedings of the London Mathematical Society (rok: 2022, tom: 125, strony: 318-357), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/plms.12448 - link to the publication
  6. Short-range and long-range order: a transition in block-gluing behavior in Hom shifts
    Authors:
    Silvere Gangloff, Benjamin Hellouin de Menibus, Piotr Oprocha
    Academic press:
    Journal d'Analyse (rok: 2023, tom: brak danych, strony: brak danych), Wydawca: brak danych
    Status:
    Submitted
  7. Parametrized family of pseudo-arc attractors: physical measures and prime end rotations
    Authors:
    Jernej Činč, Piotr Oprocha
    Academic press:
    Proceedings of the London Mathematical Society (rok: 2022, ), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/plms.12448 - link to the publication
  8. GRAPH MAPS WITH ZERO TOPOLOGICAL ENTROPY AND SEQUENCE ENTROPY PAIRS
    Authors:
    JIAN LI, XIANJUAN LIANG, PIOTR OPROCHA
    Academic press:
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (rok: 2021, tom: 149, strony: 4757–4770), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/15578 - link to the publication
  9. GRAPH MAPS WITH ZERO TOPOLOGICAL ENTROPY AND SEQUENCE ENTROPY PAIRS
    Authors:
    JIAN LI, XIANJUAN LIANG, PIOTR OPROCHA
    Academic press:
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (rok: 2021, tom: 149, strony: 4757–4770), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/15578 - link to the publication
  10. Short-range and long-range order: a transition in block-gluing behavior in Hom shifts
    Authors:
    Silvere Gangloff, Benjamin Hellouin de Menibus, Piotr Oprocha
    Academic press:
    Journal d'Analyse (rok: 2023, tom: brak danych, strony: brak danych), Wydawca: brak danych
    Status:
    Submitted
  11. Periodic points and shadowing for generic Lebesgue measure-preserving interval maps
    Authors:
    Jozef Bobok, Jernej Činč, Piotr OPROCHA, Serge Troubetzkoy
    Academic press:
    Nonlinearity (rok: 2022, tom: 35, strony: 2534–2557), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1088/1361-6544/ac62df - link to the publication
  12. S-limit shadowing is generic for continuous Lebesgue measure-preserving circle maps
    Authors:
    JOZEF BOBOK, JERNEJ ČINČ, PIOTR OPROCHA, SERGE TROUBETZKOY
    Academic press:
    Ergodic Theory and Dynamical Systems (rok: 2021, )
    Status:
    Published
    DOI:
    10.1017/etds.2021.112 - link to the publication
  13. Periodic points and shadowing for generic Lebesgue measure-preserving interval maps
    Authors:
    Jozef Bobok, Jernej Činč, Piotr OPROCHA, Serge Troubetzkoy
    Academic press:
    Nonlinearity (rok: 2022, tom: 35, strony: 2534–2557), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1088/1361-6544/ac62df - link to the publication
  14. Parametrized family of pseudo-arc attractors: physical measures and prime end rotations
    Authors:
    Jernej Činč, Piotr Oprocha
    Academic press:
    Proceedings of the London Mathematical Society (rok: 2022, tom: 125, strony: 318-357), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/plms.12448 - link to the publication
  15. GRAPH MAPS WITH ZERO TOPOLOGICAL ENTROPY AND SEQUENCE ENTROPY PAIRS
    Authors:
    JIAN LI, XIANJUAN LIANG, PIOTR OPROCHA
    Academic press:
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (rok: 2021, tom: 149, strony: 4757–4770), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/15578 - link to the publication
  16. Multiorders in amenable group actions
    Authors:
    Tomasz Downarowicz, Piotr Oprocha, Mateusz Wiecek, Guohua Zhang
    Academic press:
    Groups, Geometry, and Dynamics
    Status:
    Accepted for publication
  17. Multiorders in amenable group actions
    Authors:
    Tomasz Downarowicz, Piotr Oprocha, Mateusz Wiecek, Guohua Zhang
    Academic press:
    Groups, Geometry, and Dynamics (rok: 2023, tom: jeszcze nie nadane, strony: jeszcze nie nadane), Wydawca: EMS Press
    Status:
    Published
    DOI:
    10.4171/GGD/738 - link to the publication
  18. A Cantor dynamical system is slow if and only if all its finite orbits are attracting
    Authors:
    Silvère Gangloff, Piotr Oprocha
    Academic press:
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (rok: 2022, tom: 42, strony: 3039-3064), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcds.2022007 - link to the publication
  19. S-limit shadowing is generic for continuous Lebesgue measure-preserving circle maps
    Authors:
    JOZEF BOBOK, JERNEJ ČINČ, PIOTR OPROCHA, SERGE TROUBETZKOY
    Academic press:
    Ergodic Theory and Dynamical Systems (rok: 2023, tom: 43 (1), strony: 78 - 98), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/etds.2021.112 - link to the publication
  20. On α-Limit Sets in Lorenz Maps
    Authors:
    Łukasz Cholewa, Piotr Oprocha
    Academic press:
    Entropy (rok: 2021, tom: 23, strony: ), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/e23091153 - link to the publication
  21. On α-Limit Sets in Lorenz Maps
    Authors:
    Łukasz Cholewa, Piotr Oprocha
    Academic press:
    Entropy (rok: 2021, tom: 23, strony: ), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/e23091153 - link to the publication
  22. A Cantor dynamical system is slow if and only if all its finite orbits are attracting
    Authors:
    Silvère Gangloff, Piotr Oprocha
    Academic press:
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (rok: 2022, tom: 42, strony: 3039-3064), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcds.2022007 - link to the publication
  23. On α-Limit Sets in Lorenz Maps
    Authors:
    Łukasz Cholewa, Piotr Oprocha
    Academic press:
    Entropy (rok: 2021, tom: 23, strony: ), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/e23091153 - link to the publication
  24. Multiorders in amenable group actions
    Authors:
    Tomasz Downarowicz, Piotr Oprocha, Mateusz Wiecek, Guohua Zhang
    Academic press:
    Groups, Geometry, and Dynamics
    Status:
    Accepted for publication

O Narodowym Centrum Nauki

Finansowanie nauki

Współpraca zagraniczna

Centrum prasowe

Deklaracja dostępności
Przetwarzanie danych osobowych
Polityka cookies

Partnerzy