Gabriela Ileana Sebe, Dan Lascu

Metrical and Ergodic Theory of Continued Fraction Algorithms (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer International Publishing
• Seitenzahl: 140
• Erscheinungstermin: 22. April 2025
• Englisch
• ISBN-13: 9783031866340
• Artikelnr.: 73945772

Autorenporträt

Dan Lascu is a professor of mathematics at the Romanian Naval Academy.

Gabriela Ileana Sebe is a professor of mathematics at the National University of Science and Technology Politehnica and scientific researcher at "Gheorghe Mihoc-Caius Iacob" Institute of Mathematical Statistics and Applied Mathematics( ISMMA) of the Romanian Academy.

Inhaltsangabe

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