8,876 research outputs found
Isomorphic extensions and applications
If is a topological factor map between uniquely ergodic
topological dynamical systems, then is called an isomorphic extension
of if is also a measure-theoretic isomorphism. We consider the
case when the systems are minimal and we pay special attention to
equicontinuous . We first establish a characterization of this type of
isomorphic extensions in terms of mean equicontinuity, and then show that an
isomorphic extension need not be almost one-to-one, answering questions of Li,
Tu and Ye.Comment: 16 page
Denotational, Causal, and Operational Determinism in Event Structures
Determinism is a theoretically and practically important concept in labelled transition systems and trees. We study its generalisation to event structures. It turns out that the result depends on what characterising property of tree determinism one sets out to generalise. We present three distinct notions of event structure determinism, and show that none of them shares all the pleasant properties of the one concept for trees
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