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Recurrence in Topological Dynamics: Furstenberg Families and Ellis Actions (University Series in Mathematics) - Couverture souple
- ÉditeurSpringer
- Date d'édition2010
- ISBN 10 1441932720
- ISBN 13 9781441932723
- ReliureBroché
- Nombre de pages276
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Recurrence in Topological Dynamics
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In the long run of a dynamical system, after transient phenomena have passed away, what remains is recurrence. An orbit is recurrent when it returns repeatedly to each neighborhood of its initial position. We can sharpen the concept by insisting that the returns occur with at least some prescribed frequency. For example, an orbit lies in some minimal subset if and only if it returns almost periodically to each neighborhood of the initial point. That is, each return time set is a so-called syndetic subset ofT= the positive reals (continuous time system) or T = the positive integers (discrete time system). This is a prototype for many of the results in this book. In particular, frequency is measured by membership in a family of subsets of the space modeling time, in this case the family of syndetic subsets of T. In applying dynamics to combinatorial number theory, Furstenberg introduced a large number of such families. Our first task is to describe explicitly the calculus of families implicit in Furstenberg's original work and in the results which have proliferated since. There are general constructions on families, e. g. , the dual of a family and the product of families. Other natural constructions arise from a topology or group action on the underlying set. The foundations are laid, in perhaps tedious detail, in Chapter 2. The family machinery is then applied in Chapters 3 and 4 to describe family versions of recurrence, topological transitivity, distality and rigidity. 276 pp. Englisch. N° de réf. du vendeur 9781441932723
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Recurrence in Topological Dynamics: Furstenberg Families and Ellis Actions (University Series in Mathematics)
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Springer, 2010
ISBN 10 : 1441932720
ISBN 13 : 9781441932723
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Recurrence in Topological Dynamics: Furstenberg Families and Ellis Actions (University Series in Mathematics)
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Springer, 2010
ISBN 10 : 1441932720
ISBN 13 : 9781441932723
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Etat : USED_GOOD. Book is in Used-Good condition. Pages and cover are clean and intact. Used items may not include supplementary materials such as CDs or access codes. May show signs of minor shelf wear and contain limited notes and highlighting. 0.95. N° de réf. du vendeur 1441932720-2-4
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Recurrence in Topological Dynamics: Furstenberg Families and Ellis Actions (University Series in Mathematics)
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Recurrence in Topological Dynamics: Furstenberg Families and Ellis Actions (University Series in Mathematics)
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Springer, 2010
ISBN 10 : 1441932720
ISBN 13 : 9781441932723
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Recurrence in Topological Dynamics: Furstenberg Families and Ellis Actions (University Series in Mathematics)
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ISBN 13 : 9781441932723
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Recurrence in Topological Dynamics: Furstenberg Families and Ellis Actions (University Series in Mathematics)
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ISBN 13 : 9781441932723
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Recurrence in Topological Dynamics: Furstenberg Families and Ellis Actions (University Series in Mathematics)
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Springer, 2010
ISBN 10 : 1441932720
ISBN 13 : 9781441932723
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Etat : NEW. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. In the long run of a dynamical system, after transient phenomena have passed away, what remains is recurrence. An orbit is recurrent when it returns repeatedly to each neighborhood of its initial position. We can sharpen the concept by insisting that the re. N° de réf. du vendeur 4173722
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