Metrical and Ergodic Theory of Continued Fraction Algorithms

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.

• | Author: Gabriela Ileana Sebe
• | Publisher: Birkhauser
• | Publication Date: Apr 23, 2025
• | Number of Pages: 00140 pages
• | Binding: Paperback or Softback
• | ISBN-10: 3031866339
• | ISBN-13: 9783031866333