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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Cantor dynamical systems, interval maps and mixing.

2015/17/B/ST1/01259

Keywords:

entropy chaos mixing Cantor set rigidity shift invariant measure Markov partition

Descriptors:

  • ST1_10: Ordinary differential equations and dynamical systems
  • ST1_6: Topology

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):

dr hab. Piotr 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 (Y-m-d): 2016-02-01

Project end date (Y-m-d): 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'' (6 000 PLN)

Information in the final report

  • Publication in academic press/journals (12)
  1. Mixing Completely Scrambled System Exists
    Authors:
    J. Boroński, J. Kupka, P. Oprocha
    Academic press:
    Erg. Th. Dynam. Systems (rok: 2019, tom: 39, strony: 62-73), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/etds.2017.16 - link to the publication
  2. Shadowing, asymptotic shadowing and s-limit shadowing
    Authors:
    C. Good, P. Oprocha, M. Puljiz
    Academic press:
    Fundamenta Mathematicae (rok: 2019, tom: 244, strony: 287-312), Wydawca: Polska Akademia Nauk
    Status:
    Published
    DOI:
    10.4064/fm492-5-2018 - link to the publication
  3. 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 (rok: 2018, tom: 459, strony: 614-617), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2017.09.049 - link to the publication
  4. Edrei's Conjecture Revisited
    Authors:
    J. P. Boroński, J. Kupka, P. Oprocha
    Academic press:
    Ann. Henri Poincare (rok: 2018, tom: 19, strony: 267–281), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00023-017-0623-9 - link to the publication
  5. On dynamics of graph maps with zero topological entropy
    Authors:
    Jian Li, Piotr Oprocha, Yini Yang, Tiaoying Zeng
    Academic press:
    Nonlinearity (rok: 2017, tom: 30, strony: 4260–4276), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1361-6544/aa8817 - link to the publication
  6. omega-chaos without infinite LY-scrambled set on Gehman dendrite
    Authors:
    T. Drwięga, P. Oprocha
    Academic press:
    International Journal of Bifurcation and Chaos (rok: 2019, tom: 29, strony: 1950070 (6 pages)), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0218127419500706 - link to the publication
  7. Ultrafilters and Ramsey-type shadowing phenomena in Topological Dynamics
    Authors:
    W. Brian, P. Oprocha
    Academic press:
    Israel Journal of Mathematics (rok: 2018, tom: 227, strony: 423–453), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11856-018-1739-4 - link to the publication
  8. 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 (rok: 2018, tom: 335, strony: 261–275), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2018.07.011 - link to the publication
  9. Distributionally Chaotic Systems of Type 2 and Rigidity
    Authors:
    M. Foryś, P. Oprocha, M. Stefankova
    Academic press:
    J. Math. Anal. Appl. (rok: 2017, tom: 452, strony: 659–672), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2017.02.056 - link to the publication
  10. Double minimality, entropy and disjointness with all minimal systems
    Authors:
    P. Oprocha
    Academic press:
    Discrete and Continuous Dynamical Systems (rok: 2019, tom: 39, strony: 263–275), Wydawca: AIMS
    Status:
    Published
    DOI:
    10.3934/dcds.2019011 - link to the publication
  11. Mixing properties in expanding Lorenz maps
    Authors:
    P. Oprocha, P. Potorski, P. Raith
    Academic press:
    Advances in Mathematics (rok: 2019, tom: 343, strony: 712-755), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2018.11.015 - link to the publication
  12. On dynamics of generic maps on Cantor set
    Authors:
    J. Kupka, P. Oprocha
    Academic press:
    Topology and its Applications (rok: 2019, tom: 263, strony: 330–342), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2019.05.029 - link to the publication

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