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Metrical and ergodic theory of continued fraction algorithms

Record Type:	Electronic resources : 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.
[NT 15003449]:	- 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.
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:

631759
Continued fractions.

LC Class. No.: QA295

Dewey Class. No.: 512.72

Metrical and ergodic theory of continued fraction algorithms
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100 1 $a Sebe, Gabriela Ileana. $3 3784249
245 1 0 $a Metrical and ergodic theory of continued fraction algorithms $h [electronic resource] / $c by Gabriela Ileana Sebe, Dan Lascu.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Birkhäuser, $c 2025.
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.
650 0 $a Continued fractions. $3 631759
650 0 $a Ergodic theory. $3 555691
650 1 4 $a Dynamical Systems. $3 3538746
650 2 4 $a Measure and Integration. $3 891263
650 2 4 $a Stochastic Processes. $3 906873
650 2 4 $a Markov Process. $3 3538809
650 2 4 $a Number Theory. $3 891078
700 1 $a Lascu, Dan. $3 3784250
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Frontiers in mathematics. $3 1535268
856 4 0 $u https://doi.org/10.1007/978-3-031-86634-0
950 $a Mathematics and Statistics (SpringerNature-11649)