Metrical and Ergodic Theory of Continued Fraction Algorithms

£49.99

Metrical and Ergodic Theory of Continued Fraction Algorithms

Cybernetics and systems theory Number theory Integral calculus and equations Probability and statistics Stochastics

Authors: Gabriela Ileana Sebe, Dan Lascu

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Collection: Frontiers in Mathematics

Language: English

Published by: Birkhauser

Published on: 22nd April 2025

Format: LCP-protected ePub

ISBN: 9783031866340


Introduction

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.

Target Audience

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

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