The concepts of periodicity and aperiodicity are extended so as to apply to any measurable non-singular transformation T in s-finite measure space (X,v,M). Aperiodicity of T may then be characterized by the existence of sweep-out sets with certain properties and turns out to be closely related to the existence of a strong generator for the s-algebra v. This extends recent results of Parry and Rokhlin obtained for Lebesgue spaces
International audienceWe study the periodicity of subshifts of finite type (SFT) on Baumslag-Solitar...
Ergodic theory studies measure-preserving transformations of measure spaces. These objects are intri...
A subshift on a group G is a closed, G-invariant subset of A to the G, for some finite set A. It is ...
The concepts of periodicity and aperiodicity are extended so as to apply to any measurable non-singu...
In chapters I and II, we show that the group G of invertible, non-singular transformations of a Lebe...
We study the rotational structures of aperiodic tilings in Euclidean space of arbitrary dimension us...
AbstractLet F be a finite set with a probability distribution {Pi: i ϵ F} and (Ω F, P) denote the pr...
summary:We study countable partitions for measurable maps on measure spaces such that, for every poi...
An overview is given of the use of symmetry considerations for aperiodic crystals. Superspace groups...
This article is concerned with ergodic theory for transformations which preserve an infinite measure...
Recent studies of the eects of geometric uctuations, associated with aperiodic exchange inter-actio...
Recent studies of the effects of geometric fluctuations, associated with aperiodic exchange inter-ac...
summary:Every aperiodic endomorphism $f$ of a nonatomic Lebesgue space which possesses a finite 1-si...
Paterson [1] has recently shown that the trivial necessary conditions are sufficient for the existen...
We dedicate this paper to the memory of Shizuo Kakutani. We miss his kind manner, gentle presence an...
International audienceWe study the periodicity of subshifts of finite type (SFT) on Baumslag-Solitar...
Ergodic theory studies measure-preserving transformations of measure spaces. These objects are intri...
A subshift on a group G is a closed, G-invariant subset of A to the G, for some finite set A. It is ...
The concepts of periodicity and aperiodicity are extended so as to apply to any measurable non-singu...
In chapters I and II, we show that the group G of invertible, non-singular transformations of a Lebe...
We study the rotational structures of aperiodic tilings in Euclidean space of arbitrary dimension us...
AbstractLet F be a finite set with a probability distribution {Pi: i ϵ F} and (Ω F, P) denote the pr...
summary:We study countable partitions for measurable maps on measure spaces such that, for every poi...
An overview is given of the use of symmetry considerations for aperiodic crystals. Superspace groups...
This article is concerned with ergodic theory for transformations which preserve an infinite measure...
Recent studies of the eects of geometric uctuations, associated with aperiodic exchange inter-actio...
Recent studies of the effects of geometric fluctuations, associated with aperiodic exchange inter-ac...
summary:Every aperiodic endomorphism $f$ of a nonatomic Lebesgue space which possesses a finite 1-si...
Paterson [1] has recently shown that the trivial necessary conditions are sufficient for the existen...
We dedicate this paper to the memory of Shizuo Kakutani. We miss his kind manner, gentle presence an...
International audienceWe study the periodicity of subshifts of finite type (SFT) on Baumslag-Solitar...
Ergodic theory studies measure-preserving transformations of measure spaces. These objects are intri...
A subshift on a group G is a closed, G-invariant subset of A to the G, for some finite set A. It is ...
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