تاریخ انتشار
1982
محل انتشار
نیویورک -
Springer-Verlag، [1982].
موضوع
نظریه ارگودیک، سیستم های دینامیکی متمایز
نوع
كتاب
زبان
عربی
دیجیتال
خیر
نسخه خطی
خیر
تعداد صفحات
486
ابعاد فیزیکی
25 cm
کتابخانه
The Institute for Advanced Study (IAS)
شماره ثبت
3100001~!494~!33
محل کتابخانه
پشته های ریاضی
تاریخ
1982
یادداشتها
شامل منابع کتابشناختی (صفحات 475-482) و نمایه.. 494. x, 486 page ; 25 سانتی متر.
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.
