Kapak Resmi

A Journey Through Ergodic Theorems

The purpose of this book is to provide an invitation to the beautiful and important subject of ergodic theorems, both classical and modern, which lies at the intersection of many fundamental mathematical disciplines: dynamical systems, probability theory, topology, algebra, number theory, analysis a...

Ful tanımlama

Kaydedildi:
Detaylı Bibliyografya
Asıl Yazarlar: Eisner, Tanja (Yazar), Farkas, Bálint (Yazar)
Müşterek Yazar: SpringerLink (Online service)
Materyal Türü: Elektronik Ekitap
Dil:İngilizce
Baskı/Yayın Bilgisi: Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2025.
Edisyon:1st ed. 2025.
Seri Bilgileri:Birkhäuser Advanced Texts Basler Lehrbücher,
Konular:
Dynamical systems.
Operator theory.
Measure theory.
Dynamical Systems.
Operator Theory.
Measure and Integration.
Online Erişim:https://doi.org/10.1007/978-3-031-96506-7
Etiketler: Etiketle
Etiket eklenmemiş, İlk siz ekleyin!
İçindekiler:
  • Chapter 1. Preliminaries
  • Part I. The Fundamentals
  • Chapter 2. Measure-preserving systems
  • Chapter 3. Minimality and ergodicity
  • Chapter 4. Some Fourier analysis
  • Chapter 5. The spectral theorem
  • Chapter 6. Decompositions in Hilbert spaces
  • Part II. Classical Ergodic Theorems
  • Chapter 7. Classical ergodic theorems and more
  • Chapter 8. Factors of measure-preserving systems
  • Chapter 9. First applications of ergodic theorems
  • Chapter 10. Equidistribution
  • Chapter 11. Groups, semigroups and homogeneous spaces
  • Part III. More Ergodic Theorems
  • Chapter 12. Subsequential ergodic theorems
  • Chapter 13. Multiple recurrence
  • Chapter 14. Nilsystems
  • Chapter 15. Gowers–Host–Kra seminorms and multiple convergence
  • Chapter 16. Weighted ergodic theorems
  • Chapter 17. Sarnak’s conjecture.

Benzer Materyaller