Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

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Chaos, fractals, and conformal dynamics III

2014/13/B/ST1/01033

Keywords:

fractals Hausdorff dimension multifractal spectrum conformal dynamics

Descriptors:

  • 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 :

Instytut Matematyczny Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Michał Rams 

Number of co-investigators in the project: 5

Call: OPUS 7 - announced on 2014-03-17

Amount awarded: 569 120 PLN

Project start date (Y-m-d): 2015-02-18

Project end date (Y-m-d): 2019-02-17

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

Project status: Project settled

Equipment purchased [PL]

  1. 4 laptopy i 1 stacjonarny komputer osobisty (5 szt.) (20 000 PLN)

Information in the final report

  • Publication in academic press/journals (25)
  • Book publications / chapters in book publications (1)
  1. The structure of the space of ergodic measures of transitive partially hyperbolic sets
    Authors:
    Lorenzo Diaz, Katrin Gelfert, Tianni Marcarini, Michał Rams
    Academic press:
    Monatshefte fur Math (rok: 2019, tom: 190, strony: 441-479), Wydawca: -
    Status:
    Published
    DOI:
    10.1007/s00605-019-01325-2 - link to the publication
  2. Birkhoff and Lyapunov spectra on planar self-affine sets
    Authors:
    Balazs Barany, Thomas Jordan, Antti Kaenmaki, Michał Rams
    Academic press:
    International Mathematical Research Notices , Wydawca: -
    Status:
    Accepted for publication
    DOI:
    10.1093/imrn/rnz359 - link to the publication
  3. Hausdorff dimension in inhomogeneous Diophantine approximation
    Authors:
    Yann Bugeaud, Dong Han Kim, Seonhee Lim, Michał Rams
    Academic press:
    International Mathematical Research Notices , Wydawca: -
    Status:
    Accepted for publication
    DOI:
    10.1093/imrn/rnz073 - link to the publication
  4. Hausdorff dimension of the set in irrational rotations
    Authors:
    Dong Han Kim, Michał Rams, Baowei Wang
    Academic press:
    Mathematika (rok: 2018, tom: 64, strony: 267-283), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/S0025579317000523 - link to the publication
  5. Dimension of generic self-affine sets with holes
    Authors:
    Henna Koivusalo, Michał Rams
    Academic press:
    Monatshefte fur Math. (rok: 2019, tom: 188, strony: 527-546), Wydawca: -
    Status:
    Published
    DOI:
    10.1007/s00605-018-1187-6 - link to the publication
  6. Escaping points and escaping parameters for singly periodic meromorphic maps: Hausdorff dimensions outlook
    Authors:
    Piotr Gałązka, Janina Kotus
    Academic press:
    Complex Variables and Elliptic Equations (rok: 2018, tom: 63, strony: 547-568), Wydawca: -
    Status:
    Published
    DOI:
    10.1080/17476933.2017.1325477 - link to the publication
  7. Geometric pressure in real and complex 1-dimensional dynamics via trees of preimages and via spanning sets.
    Authors:
    Feliks Przytycki
    Academic press:
    Monatshefte fur Mathematik (rok: 2018, tom: 185, strony: 133-158), Wydawca: -
    Status:
    Published
    DOI:
    10.1007/s00605-017-1137-8 - link to the publication
  8. Multifractal analysis of the Birkhoff sums of the Saint-Petersburg potential
    Authors:
    Dong Han Kim, Lingmin Liao, Michał Rams, Baowei Wang
    Academic press:
    Fractals (rok: 2018, tom: 26, strony: 1850026), Wydawca: -
    Status:
    Published
    DOI:
    10.1142/S0218348X18500263 - link to the publication
  9. On the dimension of self-affine sets and measures with overlaps
    Authors:
    Balazs Barany, Michał Rams, Karoly Simon
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2016, tom: 144, strony: 4427-4440), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/13121 - link to the publication
  10. Mass transference principle: from balls to arbitrary shapes
    Authors:
    Henna Koivusalo, Michał Rams
    Academic press:
    International Mathematical Research Notices , Wydawca: -
    Status:
    Accepted for publication
    DOI:
    10.1093/imrn/rnz352 - link to the publication
  11. Birkhoff spectrum for piecewise monotone interval maps
    Authors:
    Thomas Jordan, Michał Rams
    Academic press:
    Fundamenta Math. , Wydawca: -
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  12. On the derivative of the Hausdorff Dimension of the Julia sets for z^2+c
    Authors:
    Ludwik Jaksztas, Michel Zinsmeister
    Academic press:
    Advances in Mathematics (rok: 2020, tom: 363, strony: ), Wydawca: -
    Status:
    Accepted for publication
    DOI:
    10.1016/j.aim.2020.106981 - link to the publication
  13. Dimension theory of some non-Markovian repellers Part I: A gentle introduction
    Authors:
    Balazs Barany, Michał Rams, Karoly Simon
    Academic press:
    - , Wydawca: -
    Status:
    Submitted
    DOI:
    brak - link to the publication
  14. On the directional derivative of the Hausdorff dimension of quadratic polynomial Julia sets at 1/4
    Authors:
    Ludwik Jaksztas
    Academic press:
    - , Wydawca: -
    Status:
    Submitted
    DOI:
    brak - link to the publication
  15. On the dimension of triangular self-affine sets
    Authors:
    Balazs Barany, Michał Rams, Karoly Simon
    Academic press:
    Ergodic Theory and Dynamical Systems (rok: 2019, tom: 39, strony: 1751-1783), Wydawca: -
    Status:
    Published
    DOI:
    10.1017/etds.2017.110 - link to the publication
  16. Nonhyperbolic step skew-products: ergodic approximation
    Authors:
    Lorenzo Diaz, Katrin Gelfert, Michał Rams
    Academic press:
    Annales de l'Institut Henri Poincare (C) (rok: 2017, tom: 34, strony: 1561-1598), Wydawca: Institute of Mathematical Statistics
    Status:
    Published
    DOI:
    10.009 - link to the publication
  17. Simply connected Baker domains of some meromorphic functions
    Authors:
    Janina Kotus, Marco Montes de Oca Balderas
    Academic press:
    Chaos, Solitons & Fractals (rok: 2018, tom: 115, strony: 108-126), Wydawca: -
    Status:
    Published
    DOI:
    10.1016/j.chaos.2018.08.009 - link to the publication
  18. Topological and ergodic aspects of partially hyperbolic diffeomorphisms and nonhyperbolic step skew-products
    Authors:
    Lorenzo Diaz, Katrin Gelfert, Michał Rams
    Academic press:
    Proceedings of Steklov Institute of Mathematics (rok: 2017, tom: 297, strony: 98-115), Wydawca: -
    Status:
    Published
    DOI:
    10.1134/S008154381704006X - link to the publication
  19. Dimension theory of some non-Markovian repellers Part II: Dynamically defined function graphs
    Authors:
    Balazs Barany, Michał Rams, Karoly Simon
    Academic press:
    - , Wydawca: -
    Status:
    Submitted
    DOI:
    brak - link to the publication
  20. Dimension maximizing measures for self-affine systems
    Authors:
    Balazs Barany, Michał Rams
    Academic press:
    Transactions of the American Mathematical Society (rok: 2018, tom: 370, strony: 553-576), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/tran/7103 - link to the publication
  21. Entropy spectrum of Lyapunov exponents for nonhyperbolic step skew-products and elliptic cocycles
    Authors:
    Lorenzo Diaz, Katrin Gelfert, Michał Rams
    Academic press:
    Communications in Mathematical Physics (rok: 2019, tom: 367, strony: 351-416), Wydawca: -
    Status:
    Published
    DOI:
    10.1007/s00220-019-03412-9 - link to the publication
  22. Metrical results on the distribution of fractional parts of powers of real numbers
    Authors:
    Yann Bugeaud, Lingmin Liao, Michał Rams
    Academic press:
    Proceedings of the Edinburgh Math. Soc. (rok: 2019, tom: 62, strony: 505-521), Wydawca: -
    Status:
    Published
    DOI:
    10.1017/S0013091518000585 - link to the publication
  23. Shrinking targets on Bedford-McMullen carpets
    Authors:
    Balazs Barany, Michał Rams
    Academic press:
    Proceedings of the London Math. Soc. (rok: 2018, tom: 117, strony: 951-995), Wydawca: -
    Status:
    Published
    DOI:
    10.1112/plms.12151 - link to the publication
  24. The Hausdorff dimension is convex on the left side of 1/4
    Authors:
    Ludwik Jaksztas
    Academic press:
    Proceedings of the Edinburgh Mathematical Society (rok: 2017, tom: 60, strony: 911-936), Wydawca: Edinburgh Mathematical Society
    Status:
    Published
    DOI:
    10.1017/S0013091516000481 - link to the publication
  25. Dimension of the repeller for a piecewise expanding affine map
    Authors:
    Balazs Barany, Michał Rams, Karoly Simon
    Academic press:
    - , Wydawca: -
    Status:
    Submitted
    DOI:
    brak - link to the publication
  1. Thermodynamic formalism methods in one-dimensional real and complex dynamics
    Authors:
    Feliks Przytycki
    Book:
    Proceedings of the International Congress of Mathematicians in Rio de Janeiro 2018. Invited article to the invited 45 min. talk in the Section of Dynamical Systems and Ordinary Differential Equations. (rok: 2018, tom: 2, strony: 2081-2106), Wydawca: ICM
    Status:
    Published

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