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Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Entropy, shadowing and attractors

2019/35/B/ST1/02239

Keywords:

shadowing pseudo-orbit entropy continuum interval ergodic measure

Descriptors:

  • ST1_006:
  • ST1_010:

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. małopolskie

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): 2025-04-08

Project duration:: 57 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.

Information in the final report

  • Publication in academic press/journals (17)
  1. 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
  2. Multiorders in amenable group actions
    Authors:
    Tomasz Downarowicz, Piotr Oprocha, Mateusz Wiecek, Guohua Zhang
    Academic press:
    Groups, Geometry, and Dynamics (rok: 2024, tom: 18, strony: 25–65), Wydawca: EMS Press
    Status:
    Published
    DOI:
    10.4171/GGD/738 - link to the publication
  3. Renormalization in Lorenz maps - completely invariant sets and periodic orbits
    Authors:
    Łukasz Cholewa, Piotr Oprocha
    Academic press:
    Advances in Mathematics (rok: 2024, tom: 456, strony: Article id: 109890), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2024.109890 - link to the publication
  4. Are generic dynamical properties stable under composition with rotations?
    Authors:
    Jozef Bobok, Jernej Činč, Piotr Oprocha, Serge Troubetzkoy
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2024, tom: 152, strony: 3011-3026), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/16800 - link to the publication
  5. Note on Homeo-Product-Minimality
    Authors:
    Jan P. Boroński, Magdalena Foryś-Krawiec, Piotr Oprocha
    Academic press:
    Qualitative Theory of Dynamical Systems (rok: 2024, tom: 20, strony: Article id: 140), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s12346-024-00992-3 - link to the publication
  6. 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
  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, tom: 125, strony: 318-357), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/plms.12448 - link to the publication
  8. 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
  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. Parameterized family of annular homeomorphisms with pseudo-circle attractors
    Authors:
    Jernej Cinc, Piotr Oprocha
    Academic press:
    Journal of Differential Equations (rok: 2024, tom: 407, strony: 102-132), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2024.06.008 - link to the publication
  11. VARIOUS QUESTIONS AROUND FINITELY POSITIVELY EXPANSIVE DYNAMICAL SYSTEMS
    Authors:
    SILVÈRE GANGLOFF, PIERRE GUILLON, PIOTR OPROCHA
    Academic press:
    Topology and its Applications (rok: 2026, tom: 377, strony: 109597), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2025.109597 - link to the publication
  12. 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
  13. 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: 30(5), strony: 603–618), Wydawca: Taylor and Francis
    Status:
    Published
    DOI:
    10.1080/10236198.2024.2302014 - link to the publication
  14. 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
  15. Short-range and long-range order: a transition in block-gluing behavior in Hom shifts
    Authors:
    Silvere Gangloff, Benjamin Hellouin de Menibus, Piotr Oprocha
    Status:
    Accepted for publication
  16. Beyond 0 and infinity: A solution to the Barge entropy conjecture
    Authors:
    Jan Boroński, Jernej Činč, Piotr Oprocha
    Status:
    Accepted for publication
  17. Rigidity and Toeplitz systems
    Authors:
    Henk Bruin, Olena Karpel, Piotr Oprocha, Silvia Radinger
    Status:
    Accepted for publication

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