Combinatorial independence in measurable dynamics

Simple item page
dc.creatorKerr, David
dc.creatorLi, Hanfeng
dc.date2007-05-23
dc.date.accessioned2026-07-07T08:03:00Z
dc.date.available2026-07-07T08:03:00Z
dc.descriptionWe develop a fine-scale local analysis of measure entropy and measure sequence entropy based on combinatorial independence. The concepts of measure IE-tuples and measure IN-tuples are introduced and studied in analogy with their counterparts in topological dynamics. Local characterizations of the Pinsker von Neumann algebra and its sequence entropy analogue are given in terms of combinatorial independence, l_1 geometry, and Voiculescu's completely positive approximation entropy. Among the novel features of our local study is the treatment of general discrete acting groups, with the structural assumption of amenability in the case of entropy.
dc.description44 pages
dc.identifierhttps://arxiv.org/abs/0705.3424
dc.identifierhttp://arxiv.org/abs/0705.3424
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129423
dc.subjectDynamical Systems
dc.subjectFunctional Analysis
dc.titleCombinatorial independence in measurable dynamics
dc.typetext

Files

Collections

arXiv