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Information on the principal investigator and host institution

Information of the project and the call

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Normality, determinism, generic points and various notions of uncorrelation for actions of amenable groups

2018/30/M/ST1/00061

Keywords:

normality determinism Rauzy-determinism disjointness uncorrelation action of an amenable group multiplicative action continued fraction expansion Gauss map circle action

Descriptors:

  • ST1_9: Operator algebras and functional analysis
  • ST1_13: Probability and statistics
  • ST1_14: Discrete mathematics and combinatorics

Panel:

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

Host institution :

Politechnika Wrocławska

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Tomasz Downarowicz 

Number of co-investigators in the project: 2

Call: HARMONIA 10 - announced on 2018-06-15

Amount awarded: 483 000 PLN

Project start date (Y-m-d): 2019-05-06

Project end date (Y-m-d): 2023-11-05

Project duration:: 54 months (the same as in the proposal)

Project status: Project settled

Project description

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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 (10)
  1. Deterministic functions on amenable semigroups and a generalization of the Kamae--Weiss theorem on normality preservation
    Authors:
    Vitaly Bergelson, Tomasz Downarowicz and Joseph Vandehey
    Academic press:
    Journal d'Analyse Mathématique (rok: 2022, tom: 148, strony: 213–286), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11854-022-0226-3 - link to the publication
  2. The symbolic extension theory in topological dynamics
    Authors:
    Tomasz Downarowicz and Guohua Zhang
    Academic press:
    Acta Mathematica Sinica (rok: 2022, tom: 38, strony: 107–136), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10114-022-0311-7 - link to the publication
  3. Tail variational principle and asymptotic h-expansiveness for amenable group actions
    Authors:
    Tomasz Downarowicz and Guohua Zhang
    Academic press:
    Israel Journal of Mathematics (rok: 2022, tom: 251, strony: 301-325), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11856-022-2438-8 - link to the publication
  4. When all points are generic for ergodic measures
    Authors:
    Tomasz Downarowicz and Benjamin Weiss
    Academic press:
    Bulletin Polish Acad. Sci. Math. (rok: 2021, tom: online first, strony: 117-132), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/ba210113-15-1 - link to the publication
  5. Multiorders in amenable group actions
    Authors:
    Tomasz Downarowicz, Piotr Oprocha, Mateusz Więcek i Guohua Zhang
    Academic press:
    Groups, Geometry and Dynamics (rok: 2023, tom: online first, strony: 25-65), Wydawca: European Mathematical Society
    Status:
    Published
    DOI:
    10.4171/GGD/738 - link to the publication
  6. Destruction of CPE-normality of along deterministic sequences
    Authors:
    Adam Abrams i Tomasz Downarowicz
    Academic press:
    Fundamenta Mathematicae , Wydawca: IMPAN
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  7. Lifting generic points
    Authors:
    Tomasz Downarowicz i Benjamin Weiss
    Academic press:
    Ergodic Theory and Dynamical Systems (rok: 2024, tom: online first, strony: 45307), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/etds.2023.119 - link to the publication
  8. Uniform Continuity of Entropy Rate With Respect to the ̅F-Pseudometric
    Authors:
    Tomasz Downarowicz, Dominik Kwietniak and Martha Łącka
    Academic press:
    IEEE Transactions on Information Theory (rok: 2021, tom: 67, strony: 7010-7018), Wydawca: IEEE
    Status:
    Published
    DOI:
    10.1109/TIT.2021.3111831 - link to the publication
  9. Decomposition of a symbolic element over a countable amenable group into blocks approximating ergodic measures
    Authors:
    Tomasz Downarowicz and Mateusz Więcek
    Academic press:
    Groups Geometry and Dynamics (rok: 2022, tom: online first, strony: 909-941), Wydawca: EMS
    Status:
    Published
    DOI:
    10.4171/GGD/679 - link to the publication
  10. Pure strictly uniform models of non-ergodic measure automorphisms
    Authors:
    Tomasz Downarowicz and Benjamin Weiss
    Academic press:
    Discrete & Continuous Dynamical Systems (rok: 2022, tom: 42, strony: 863-884), Wydawca: American Institute of Mathematical Studies
    Status:
    Published
    DOI:
    10.3934/dcds.2021140 - link to the publication

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