02996nam 22006735 450 991099967320332120250422130226.03-031-86634-710.1007/978-3-031-86634-0(CKB)38537207700041(DE-He213)978-3-031-86634-0(MiAaPQ)EBC32023870(Au-PeEL)EBL32023870(EXLCZ)993853720770004120250422d2025 u| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierMetrical and Ergodic Theory of Continued Fraction Algorithms /by Gabriela Ileana Sebe, Dan Lascu1st ed. 2025.Cham :Springer Nature Switzerland :Imprint: Birkhäuser,2025.1 online resource (XII, 140 p. 4 illus., 3 illus. in color.) Frontiers in Mathematics,1660-80543-031-86633-9 - 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.Frontiers in Mathematics,1660-8054DynamicsMeasure theoryStochastic processesMarkov processesNumber theoryDynamical SystemsMeasure and IntegrationStochastic ProcessesMarkov ProcessNumber TheoryDynamics.Measure theory.Stochastic processes.Markov processes.Number theory.Dynamical Systems.Measure and Integration.Stochastic Processes.Markov Process.Number Theory.515.39Sebe Gabriela Ileanaauthttp://id.loc.gov/vocabulary/relators/aut1817189Lascu Danauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910999673203321Metrical and Ergodic Theory of Continued Fraction Algorithms4374695UNINA