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Record Nr. |
UNINA9910999673203321 |
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Autore |
Sebe Gabriela Ileana |
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Titolo |
Metrical and Ergodic Theory of Continued Fraction Algorithms / / by Gabriela Ileana Sebe, Dan Lascu |
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Pubbl/distr/stampa |
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Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2025 |
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ISBN |
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Edizione |
[1st ed. 2025.] |
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Descrizione fisica |
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1 online resource (XII, 140 p. 4 illus., 3 illus. in color.) |
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Collana |
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Frontiers in Mathematics, , 1660-8054 |
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Disciplina |
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Soggetti |
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Dynamics |
Measure theory |
Stochastic processes |
Markov processes |
Number theory |
Dynamical Systems |
Measure and Integration |
Stochastic Processes |
Markov Process |
Number Theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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- 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. |
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Sommario/riassunto |
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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, 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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