JEDNOSTKA NAUKOWA KATEGORII A+

Projectional entropy for actions of amenable groups

Michał Prusik Colloquium Mathematicum MSC: Primary 37B05; Secondary 37B40, 37B10 DOI: 10.4064/cm9339-9-2024 Opublikowany online: 23 October 2024

Streszczenie

We transfer the notion of projectional entropy, originally defined for multidimensional subshifts, to the case of actions of amenable groups. The main theorem states that if a system is strongly irreducible, equality of the entropy and the projectional entropy implies that the system has a product-like structure.

Autorzy

  • Michał PrusikFaculty of Pure and Applied Mathematics
    Wrocław University of Science and Technology
    50-370 Wrocław, Poland
    e-mail

Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Przepisz kod z obrazka

Odśwież obrazek

Odśwież obrazek