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A Journey Through Ergodic Theorems

By Tanja Eisner

A Journey Through Ergodic Theorems

By Tanja Eisner

0 - Default Title
Description
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 and functional analysis. The book is suitable for undergraduate and graduate students as well as non-specialists with basic knowledge of functional analysis, topology and measure theory.
Starting from classical ergodic theorems due to von Neumann and Birkhoff, the state-of-the-art of modern ergodic theorems such as subsequential, multiple and weighted ergodic theorems are presented. In particular, two deep connections between ergodic theorems and number theory are discussed: Furstenberg's famous proof of Szemerédi's theorem on existence of arithmetic progressions in large sets of integers, and the Sarnak conjecture on the random behavior of the Möbius function.
An extensive list of references to other literature for readers wishing to deepen their knowledge is provided.
Product details
Number of Pages:
584
Release Date:
2025-11-18
Publication Date:
2025-11-18
Publisher:
Birkhäuser
Languages:
Original: English
ISBN10:
3031965051
ISBN13:
9783031965050
GPSR Manufacturer Reference:
[email protected]
Weight:
1031 g
Height:
160 cm
Width:
241 cm
Thickness:
37 cm
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