Basım Tarihi
1982
Basım Yeri
New York -
Springer-Verlag, [1982].
Konu
Ergodik teori, Türevlenebilir dinamik sistemler
Tür
Kitap
Dil
Arapça
Dijital
Hayır
Yazma
Hayır
Sayfa Sayısı
486
Fiziksel Boyutlar
25 cm
Kütüphane
The Institute for Advanced Study (IAS)
Kayıt Numarası
3100001~!494~!33
Lokasyon
Matematik Yığınları
Tarih
1982
Notlar
Bibliyografik referansları (sayfa 475-482) ve indeksi içerir. 494. x, 486 sayfa; 25 cm.
İçindekiler
Part I: Ergodicitiy and Mixing. Examples of dynamic systems -- Basic definitions of ergodic theory -- Smooth dynamical systems on smooth manifolds -- Smooth dynamical systems on the torus -- Dynamical systems of algebraic origin -- Interval exchange transformations -- Billiards -- Dynamical systems in number theory -- Dynamical systems in probability theory -- Examples of infinite dimensional dynamical systems -- Part II: Basic constructions of ergodic theory -- Simplest general constructions and elements of entropy theory of dynamical systems -- Special representations of flows -- Part III: Spectral theory of dynamical systems -- Dynamical systems with pure point specturm -- Examples of spectral analysis of dynamical systems -- Spectral analysis of Gauss dynamical systems -- Part IV: Approximation theory of dynamical systems by periodic dynamical systems and some of its applications -- Approximations of dynamical systems -- Special representations and approximations of smooth dynamical systems on the two-dimensional torus -- Appendix I: Lebesgue spaces and measurable partitions -- Appendix 2: Relevant facts from the spectral theory of unitary operators -- Appendix 3: Proof of the Birkhoff-Khinchin theorem -- Appendix 4: Kronecker sets.
ISBN
0387905804, 9780387905808, 3540905804, 9783540905806
Seri
Grundlehren der mathematischen Wissenschaften 245, Grundlehren der mathematischen Wissenschaften 245.