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Metrical and ergodic theory of continued fraction algorithms

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Metrical and ergodic theory of continued fraction algorithms/ by Gabriela Ileana Sebe, Dan Lascu.
Author:	Sebe, Gabriela Ileana.
other author:	Lascu, Dan.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	xii, 140 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
Subject:	Continued fractions. -
Online resource:	https://doi.org/10.1007/978-3-031-86634-0
ISBN:	9783031866340

Metrical and ergodic theory of continued fraction algorithms
Sebe, Gabriela Ileana.

Metrical and ergodic theory of continued fraction algorithms[electronic resource] /by Gabriela Ileana Sebe, Dan Lascu. - Cham :Springer Nature Switzerland :2025. - xii, 140 p. :ill. (some col.), digital ;24 cm. - Frontiers in mathematics,1660-8054. - Frontiers in mathematics..

- 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.

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.

ISBN: 9783031866340

Standard No.: 10.1007/978-3-031-86634-0doiSubjects--Topical Terms:

873475
Continued fractions.

LC Class. No.: QA295

Dewey Class. No.: 512.72

Metrical and ergodic theory of continued fraction algorithms
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245 1 0 $a Metrical and ergodic theory of continued fraction algorithms $h [electronic resource] / $c by Gabriela Ileana Sebe, Dan Lascu.
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300 $a xii, 140 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Frontiers in mathematics, $x 1660-8054
505 0 $a - 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.
520 $a 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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650 0 $a Ergodic theory. $3 672355
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650 2 4 $a Stochastic Processes. $3 1098688
650 2 4 $a Markov Process. $3 1366662
650 2 4 $a Number Theory. $3 672023
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