Metrical and Ergodic Theory of Continued Fraction Algorithms

Metrical and Ergodic Theory of Continued Fraction Algorithms

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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, -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, a...