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Cantor dynamical systems, interval maps and mixing.

2015/17/B/ST1/01259

Keywords

Descriptors

  • ST1_10: Równania różniczkowe zwyczajne i układy dynamiczne
  • ST1_6: Topologia

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

Voivodeship: małopolskie

Other projects carried out by the institution »

Principal investigator (from the host institution)

dr hab. Piotr Maciej Oprocha

Number of co-investigators in the project: 1

Call

OPUS 9 – announced on 2015-03-16

Amount awarded
159 000 PLN
Project start date
2016-02-01
Project end date
2019-01-31
Project duration
36 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. Laptop Macbook Air 13.3''. Cost: 6 000 PLN

Information in the final report

Publication in academic press/journals (12)

  1. Ultrafilters and Ramsey-type shadowing phenomena in Topological Dynamics

    Authors:
    W. Brian, P. Oprocha
    Academic press:
    Israel Journal of Mathematics (year: 2018, volume: 227, pages: 423–453), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s11856-018-1739-4 – link to the publication

  2. omega-chaos without infinite LY-scrambled set on Gehman dendrite

    Authors:
    T. Drwięga, P. Oprocha
    Academic press:
    International Journal of Bifurcation and Chaos (year: 2019, volume: 29, pages: 1950070 (6 pages)), Publisher: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0218127419500706 – link to the publication

  3. Distributionally Chaotic Systems of Type 2 and Rigidity

    Authors:
    M. Foryś, P. Oprocha, M. Stefankova
    Academic press:
    J. Math. Anal. Appl. (year: 2017, volume: 452, pages: 659–672), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2017.02.056 – link to the publication

  4. On dynamics of graph maps with zero topological entropy

    Authors:
    Jian Li, Piotr Oprocha, Yini Yang, Tiaoying Zeng
    Academic press:
    Nonlinearity (year: 2017, volume: 30, pages: 4260–4276), Publisher: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1361-6544/aa8817 – link to the publication

  5. A compact minimal space Y such that its square Y×Y is not minimal

    Authors:
    J.P. Boroński, A. Clark, P. Oprocha
    Academic press:
    Advances in Mathematics (year: 2018, volume: 335, pages: 261–275), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2018.07.011 – link to the publication

  6. Edrei's Conjecture Revisited

    Authors:
    J. P. Boroński, J. Kupka, P. Oprocha
    Academic press:
    Ann. Henri Poincare (year: 2018, volume: 19, pages: 267–281), Publisher: Springer
    Status:
    Published
    DOI:
    10.1007/s00023-017-0623-9 – link to the publication

  7. Mixing properties in expanding Lorenz maps

    Authors:
    P. Oprocha, P. Potorski, P. Raith
    Academic press:
    Advances in Mathematics (year: 2019, volume: 343, pages: 712-755), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2018.11.015 – link to the publication

  8. On dynamics of generic maps on Cantor set

    Authors:
    J. Kupka, P. Oprocha
    Academic press:
    Topology and its Applications (year: 2019, volume: 263, pages: 330–342), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2019.05.029 – link to the publication

  9. Mixing Completely Scrambled System Exists

    Authors:
    J. Boroński, J. Kupka, P. Oprocha
    Academic press:
    Erg. Th. Dynam. Systems (year: 2019, volume: 39, pages: 62-73), Publisher: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/etds.2017.16 – link to the publication

  10. Corrigendum to Syndetically proximal pairs [J. Math. Anal. Appl. 379 (2011) 656–663]

    Authors:
    Jian Li, T.K. Subrahmonian Moothathu, Piotr Oprocha
    Academic press:
    Journal of Mathematical Analysis and Applications (year: 2018, volume: 459, pages: 614-617), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2017.09.049 – link to the publication

  11. Shadowing, asymptotic shadowing and s-limit shadowing

    Authors:
    C. Good, P. Oprocha, M. Puljiz
    Academic press:
    Fundamenta Mathematicae (year: 2019, volume: 244, pages: 287-312), Publisher: Polska Akademia Nauk
    Status:
    Published
    DOI:
    10.4064/fm492-5-2018 – link to the publication

  12. Double minimality, entropy and disjointness with all minimal systems

    Authors:
    P. Oprocha
    Academic press:
    Discrete and Continuous Dynamical Systems (year: 2019, volume: 39, pages: 263–275), Publisher: AIMS
    Status:
    Published
    DOI:
    10.3934/dcds.2019011 – link to the publication

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