INVARIANT MEASURES FOR CONTINUED FRACTIONS WITH VARIABLE NUMERATORS

摘要

Two one-parameter families of maps are described which give a generalization of the a/b-expansion which are considered in the paper Continued fraction expansions with variable numerators by K. Dajani, C. Kraaikamp, and N. D. S. Langeveld. These families are chosen in a way such that the invariant densities can be given explicitly.