The almost weak specification property for ergodic group automorphisms of Abelian groups

DOI10.2969/jmsj/04220341zbMath0722.28014OpenAlexW2065204992MaRDI QIDQ755917

Masahito Dateyama

Publication date: 1990

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/04220341

zbMATH Keywords

solenoidal groupHaar measurealmost weak specification propertyergodic group automorphism

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) General groups of measure-preserving transformations (28D15)

Related Items (15)

On intrinsic ergodicity and weakenings of the specification property ⋮ On entropy of dynamical systems with almost specification ⋮ Specification property for topological spaces ⋮ THE PRESSURE OF THE HISTORIC SET FOR ERGODIC AUTOMORPHISMS OF ABELIAN GROUPS ⋮ The existence of semi-horseshoes for partially hyperbolic diffeomorphisms ⋮ Specification properties on uniform spaces ⋮ ON THE ONE-WAY SPECIFICATION PROPERTY AND LARGE DEVIATIONS FOR SYSTEMS WITH NON-DENSE ERGODIC MEASURES ⋮ The growth of periodic orbits with large support ⋮ Specification properties for non-autonomous discrete systems ⋮ The irregular set for maps with almost weak specification property has full metric mean dimension ⋮ On controlled specification and uniqueness of the equilibrium state in expansive systems ⋮ Generic points of invariant measures for an amenable residually finite group actions with the weak specification property ⋮ Ergodic universality of some topological dynamical systems ⋮ On the weaker forms of the specification property and their applications ⋮ Irregular sets, the $𝛽$-transformation and the almost specification property

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