Metrical and Ergodic Theory of Continued Fraction Algorithms

著者名：Sebe, Gabriela Ileana/Lascu, Dan

Birkhäuser（2025/04/22発売）

• 言語：ENG
• ISBN：9783031866333
• eISBN：9783031866340

Description

This monograph presents the work of the authors in metrical theory of continued fractions in the last two decades. The monograph cuts a particular path through this extensive theory and describes the theory in its current form for three families of continued fractions, namely, θ-continued fractions, N-continued fractions, and generalized Rényi continued fractions. The book systematically lays out the required preliminaries, making the book easy to read. This monograph provides a solid introduction into the theory of continued fractions.

The book is intended for researchers in metrical theory, as well as advanced graduate students and mathematicians interested in this field.

Table of Contents

- 1. Introduction.- 2. θ-Continued Fraction Expansions.- 3. N-Continued Fractions.- 4. Generalized Rényi Continued Fractions.- 5. Comparing the Efficiency of Different Continued Fraction Algorithms.