A Journey Through Ergodic Theorems

Name: A Journey Through Ergodic Theorems
Brand: Springer, Berlin
SKU: 9783031965050
Price: 73.19 EUR
Availability: InStock

Autor: Tanja Eisner, Bálint Farkas

Jazyk:

Väzba: Pevná

Vydavateľ: Springer, Berlin

Dostupnosť: Skladom u dodávateľa

Odosielame za 10-13 dní

73.19 €

The purpose of this book is to provide an invitation to the beautiful and important subject of ergod...

Informácie o knihe

Autor

Tanja Eisner, Bálint Farkas

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

2025

Stránok

540

EAN

9783031965050

Enbook ID

48706955

Vydavateľ

Springer, Berlin

Hmotnosť

988

Rozmery

155 x 235

Kompletný popis

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.

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A Journey Through Ergodic Theorems

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