Metrical and Ergodic Theory of Continued Fraction Algorithms / / by Gabriela Ileana Sebe, Dan Lascu

• Autore: Sebe Gabriela Ileana
• Pubblicazione: Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2025
• Edizione: 1st ed. 2025.
• Descrizione fisica: 1 online resource (XII, 140 p. 4 illus., 3 illus. in color.)
• Disciplina: 515.39
• Soggetto topico: Dynamics; Measure theory; Stochastic processes; Markov processes; Number theory; Dynamical Systems; Measure and Integration; Stochastic Processes; Markov Process; Number Theory
• Persona (resp. second.): LascuDan
• Nota di contenuto: - 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: Metrical and Ergodic Theory of Continued Fraction Algorithms
• ISBN: 3-031-86634-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910999673203321
• Lo trovi qui: Univ. Federico II
• Serie: Frontiers in Mathematics, . 1660-8054