Metrical and Ergodic Theory of Continued Fraction Algorithms

Dan Lascu is a professor of mathematics at the Romanian Naval Academy.Gabriela Ileana Sebe is a professor of mathematics at the National University of Science and Technology Politehnica and scientific researcher at "Gheorghe Mihoc-Caius Iacob" Institute of Mathematical Statistics and Applied Mathematics( ISMMA) of the Romanian Academy.

• - 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.