Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Chaos, fractals, not only conformal dynamics

2019/33/B/ST1/00275

Keywords:

multifractal formalism iterated function systems Lyapunov exponents Hausdorff dimension conformal repellers

Descriptors:

  • ST1_10: Ordinary differential equations and dynamical systems
  • ST1_8: Analysis

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Instytut Matematyczny Polskiej Akademii Nauk

woj.

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Michał Rams 

Number of co-investigators in the project: 4

Call: OPUS 17 - announced on 2019-03-15

Amount awarded: 525 300 PLN

Project start date (Y-m-d): 2020-02-06

Project end date (Y-m-d): 2025-02-05

Project duration:: 60 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 (32)
  • Book publications / chapters in book publications (2)
  1. On Hausdorff dimension of polynomial not totally disconnected Julia sets
    Authors:
    Feliks Przytycki, Anna Zdunik
    Academic press:
    Bulletin of the London Mathematical Society (rok: 2021, tom: 53, strony: 1674 --1691), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/blms.12519 - link to the publication
  2. Hausdorff and packing dimensions and measures for nonlinear transversally non-conformal thin solenoids
    Authors:
    Reza Mohammadpour, Feliks Przytycki, Michał Rams
    Academic press:
    Ergodic Theory and Dynamical Systems (rok: 2022, tom: 42, strony: 3458-3489), Wydawca: Cambridge
    Status:
    Published
    DOI:
    10.1017/etds.2021.94 - link to the publication
  3. Mingled hyperbolicities: ergodic properties and bifurcation phenomena (an approach using concavity)
    Authors:
    Lorenzo Diaz, Katrin Gelfert, Michał Rams
    Academic press:
    Discrete and Continuous Dynamical Systems (rok: 2022, tom: 42, strony: 5309-5376), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcds.2022100 - link to the publication
  4. Spectrum of weighted Birkhoff average
    Authors:
    Balazs Barany, Michał Rams, Ruxi Shi
    Academic press:
    Studia Mathematica (rok: 2023, tom: 269, strony: 65-82), Wydawca: IM PAN
    Status:
    Published
    DOI:
    10.4064/sm210908-19-6 - link to the publication
  5. Variational principle for nonhyperbolic ergodic measures: Skew products and elliptic cocycles
    Authors:
    Lorenzo Diaz, Katrin Gelfert, Michał Rams
    Academic press:
    Communications in Mathematical Physics (rok: 2022, tom: 394, strony: 73-141), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00220-022-04406-w - link to the publication
  6. Mingled hyperbolicities: ergodic properties and bifurcation phenomena (an approach using concavity)
    Authors:
    Lorenzo Diaz, Katrin Gelfert, Michał Rams
    Academic press:
    Discrete and Continuous Dynamical Systems (rok: 2022, tom: 42, strony: 5309-5376), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcds.2022100 - link to the publication
  7. On Hausdorff dimension of polynomial not totally disconnected Julia sets
    Authors:
    Feliks Przytycki, Anna Zdunik
    Academic press:
    Bulletin of the London Mathematical Society (rok: 2021, tom: 53, strony: 1674 --1691), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/blms.12519 - link to the publication
  8. Path-dependent shrinking targets in generic affine iterated function systems
    Authors:
    Henna Koivusalo, Lingmin Liao, Michał Rams
    Academic press:
    Ergodic Theory and dynamical Systems (rok: 2023, ), Wydawca: -
    Status:
    Submitted
  9. Spectrum of weighted Birkhoff average
    Authors:
    Balazs Barany, Michał Rams, Ruxi Shi
    Academic press:
    Studia Mathematica (rok: 2023, tom: 269, strony: 65-82), Wydawca: IM PAN
    Status:
    Published
    DOI:
    10.4064/sm210908-19-6 - link to the publication
  10. Hausdorff and packing dimensions and measures for nonlinear transversally non-conformal thin solenoids
    Authors:
    Reza Mohammadpour, Feliks Przytycki, Michał Rams
    Academic press:
    Ergodic Theory and Dynamical Systems , Wydawca: Cambridge
    Status:
    Accepted for publication
    DOI:
    10.1017/etds.2021.94 - link to the publication
  11. Normal sequences with given limits of multiple ergodic averages
    Authors:
    Lingmin Liao, Michał Rams
    Academic press:
    Publicacions Mathematiques (rok: 2021, tom: 65(1), strony: 271-290)
    Status:
    Published
    DOI:
    10.5565/PUBLMAT6512108 - link to the publication
  12. Lyapunov exponents for non-ergodic meromorphic functions
    Authors:
    Janina Kotus, Marco Montes de Oca Balderas
    Academic press:
    Proceedings of the American Mathematicla Society (rok: 2023, tom: 151, strony: 1609-1620), Wydawca: AMS
    Status:
    Published
    DOI:
    10.1090/proc/16256 - link to the publication
  13. On Hausdorff dimension of polynomial not totally disconnected Julia sets
    Authors:
    Feliks Przytycki, Anna Zdunik
    Academic press:
    Bulletin of the London Mathematical Society (rok: 2021, tom: 53, strony: 1674 --1691), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/blms.12519 - link to the publication
  14. Hausdorff measure and Assouad dimension of generic self-conformal IFS on the line
    Authors:
    Balazs Barany, Isztvan Kolossvary, Michał Rams, Karoly Simon
    Academic press:
    Proc. Roy. Soc. Edinburgh Sect. A (tom: 151, strony: 2051-2081), Wydawca: Royal Soc. Edinburgh
    Status:
    Published
    DOI:
    10.1017/prm.2020.89 - link to the publication
  15. Variational principle for nonhyperbolic ergodic measures: Skew products and elliptic cocycles
    Authors:
    Lorenzo Diaz, Katrin Gelfert, Michał Rams
    Academic press:
    Communications in Mathematical Physics
    Status:
    Accepted for publication
    DOI:
    10.1007/s00220-022-04406-w - link to the publication
  16. Hausdorff measure and Assouad dimension of generic self-conformal IFS on the line
    Authors:
    Balazs Barany, Isztvan Kolossvary, Michał Rams, Karoly Simon
    Academic press:
    Proc. Roy. Soc. Edinburgh Sect. A (tom: 151, strony: 2051-2081), Wydawca: Royal Soc. Edinburgh
    Status:
    Published
    DOI:
    10.1017/prm.2020.89 - link to the publication
  17. Big Birkhoff sums in d-decaying Gauss like iterated function systems
    Authors:
    Lingmin Liao, Michał Rams
    Academic press:
    Studia Mathematica (rok: 2022, tom: 264, strony: 45682), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/sm201031-23-8 - link to the publication
  18. Normal sequences with given limits of multiple ergodic averages
    Authors:
    Lingmin Liao, Michał Rams
    Academic press:
    Publicacions Mathematiques (rok: 2021, tom: 65(1), strony: 271-290)
    Status:
    Published
    DOI:
    10.5565/PUBLMAT6512108 - link to the publication
  19. On the multifractal spectrum of weighted Birkhoff averages
    Authors:
    Balazs Barany, Michał Rams, Ruxi Shi
    Academic press:
    Discrete and Continuous Dynamical Systems
    Status:
    Accepted for publication
    DOI:
    10.3934/dcds.2021199 - link to the publication
  20. On the directional derivative of the Hausdorff dimension of quadratic polynomial Julia sets at -2
    Authors:
    Ludwik Jaksztas
    Academic press:
    Advances in Mathematics (rok: 2024, tom: 433, strony: 109297), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2023.109297 - link to the publication
  21. Hausdorff measure and Assouad dimension of generic self-conformal IFS on the line
    Authors:
    Balazs Barany, Isztvan Kolossvary, Michał Rams, Karoly Simon
    Academic press:
    Proc. Roy. Soc. Edinburgh Sect. A (tom: 151, strony: 2051-2081), Wydawca: Royal Soc. Edinburgh
    Status:
    Published
    DOI:
    10.1017/prm.2020.89 - link to the publication
  22. On the multifractal spectrum of weighted Birkhoff averages
    Authors:
    Balazs Barany, Michał Rams, Ruxi Shi
    Academic press:
    Discrete and Continuous Dynamical Systems (rok: 2022, tom: 42, strony: 2461-2497), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcds.2021199 - link to the publication
  23. Path-dependent shrinking targets in generic affine iterated function systems
    Authors:
    Henna Koivusalo, Lingmin Liao, Michał Rams
    Academic press:
    Ergodic Theory and dynamical Systems (rok: 2023, ), Wydawca: -
    Status:
    Submitted
  24. Mingled hyperbolicities: ergodic properties and bifurcation phenomena (an approach using concavity)
    Authors:
    Lorenzo Diaz, Katrin Gelfert, Michał Rams
    Academic press:
    Discrete and Continuous Dynamical Systems
    Status:
    Accepted for publication
  25. Spectrum of weighted Birkhoff average
    Authors:
    Balazs Barany, Michał Rams, Ruxi Shi
    Academic press:
    Studia Mathematica
    Status:
    Accepted for publication
  26. Big Birkhoff sums in d-decaying Gauss like iterated function systems
    Authors:
    Lingmin Liao, Michał Rams
    Academic press:
    Studia Mathematica (rok: 2022, tom: 264, strony: 45682), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/sm201031-23-8 - link to the publication
  27. Variational principle for nonhyperbolic ergodic measures: Skew products and elliptic cocycles
    Authors:
    Lorenzo Diaz, Katrin Gelfert, Michał Rams
    Academic press:
    Communications in Mathematical Physics (rok: 2022, tom: 394, strony: 73-141), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00220-022-04406-w - link to the publication
  28. On the multifractal spectrum of weighted Birkhoff averages
    Authors:
    Balazs Barany, Michał Rams, Ruxi Shi
    Academic press:
    Discrete and Continuous Dynamical Systems (rok: 2022, tom: 42, strony: 2461-2497), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcds.2021199 - link to the publication
  29. Lyapunov exponents for non-ergodic meromorphic functions
    Authors:
    Janina Kotus, Marco Montes de Oca Balderas
    Academic press:
    Proceedings of the American Mathematicla Society (rok: 2023, tom: 151, strony: 1609-1620), Wydawca: AMS
    Status:
    Published
    DOI:
    10.1090/proc/16256 - link to the publication
  30. Hausdorff and packing dimensions and measures for nonlinear transversally non-conformal thin solenoids
    Authors:
    Reza Mohammadpour, Feliks Przytycki, Michał Rams
    Academic press:
    Ergodic Theory and Dynamical Systems (rok: 2022, tom: 42, strony: 3458-3489), Wydawca: Cambridge
    Status:
    Published
    DOI:
    10.1017/etds.2021.94 - link to the publication
  31. Normal sequences with given limits of multiple ergodic averages
    Authors:
    Lingmin Liao, Michał Rams
    Academic press:
    Publicacions Mathematiques (rok: 2021, tom: 65(1), strony: 271-290)
    Status:
    Published
    DOI:
    10.5565/PUBLMAT6512108 - link to the publication
  32. Big Birkhoff sums in d-decaying Gauss like iterated function systems
    Authors:
    Lingmin Liao, Michał Rams
    Academic press:
    Studia Mathematica (rok: 2022, tom: 264, strony: 45682), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/sm201031-23-8 - link to the publication
  1. Authors:
    Janina Kotus, Mariusz Urbański
    Book:
    Meromorphic Dynamics. Abstract Ergodic Theory, Geometry, Graph Directed Markov Systems, and Conformal Measures, Volume 1 (rok: 2023, tom: 1, strony: 508), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/9781009215930 - link to the publication
  2. Authors:
    Janina Kotus, Mariusz Urbanski
    Book:
    Meromorphic Dynamics. Elliptic Functions with an Introduction to the Dynamics of Meromorphic Functions, Volume 2 (rok: 2023, tom: 2, strony: 508), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/9781009215985 - link to the publication

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