Recurrence in Topological Dynamics

Name: Recurrence in Topological Dynamics
Brand: Springer, Berlin
SKU: 9781441932723
Price: 38497 HUF
Availability: InStock

Furstenberg Families and Ellis Actions

Szerző: Ethan Akin

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer, Berlin

Elérhetőség: Beszállítói készleten

Küldés 5-8 napon belül

38 497 Ft

In the long run of a dynamical system, after transient phenomena have passed away, what remains is r...

Információk a könyvről

Szerző

Ethan Akin

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2010

oldal

266

EAN

9781441932723

Enbook ID

05257016

Kiadó

Springer, Berlin

Súly

427

Méretek

15 x 23 x 15

Teljes leírás

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.

Érdekelheti

Azok a vásárlók, akik ezt a könyvet megvásárolták, a következőket is megvásárolták

Leggyakrabban keresett

Categories

Authors

Publishers

Termékek

Termékek

Leggyakrabban keresett

Categories

Authors

Publishers

Termékek

Termékek

Recurrence in Topological Dynamics

Furstenberg Families and Ellis Actions

Információk a könyvről

Teljes leírás

Érdekelheti

Azok a vásárlók, akik ezt a könyvet megvásárolták, a következőket is megvásárolták