A Journey Through Ergodic Theorems

Name: A Journey Through Ergodic Theorems
Brand: Springer, Berlin
SKU: 9783031965050
Price: 77.36 EUR
Availability: InStock

Автор: Tanja Eisner, Bálint Farkas

Език:

Корици: С твърди корици

Издател: Springer, Berlin

Наличност: Външен склад

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77.36 € 151.31 лв

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

Информация за книгата

Автор

Tanja Eisner, Bálint Farkas

Език

Английски език

Корици

Книга - С твърди корици

Издадена

2025

страници

540

EAN

9783031965050

Enbook ID

48706955

Издател

Springer, Berlin

Теглоt

988

Размери

155 x 235

Пълно описание

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

Информация за книгата

Пълно описание

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