Ergodicity for p-adic continued fraction algorithms

摘要

Following Schweiger's generalization of multidimensional continued fraction algorithms, we consider a very large family of p-adic multidimensional continued fraction algorithms, which include Schneider's algorithm, Ruban's algorithms, and the p-adic Jacobi-Perron algorithm as special cases. The main result is to show that all the transformations in the family are ergodic with respect to the Haar measure.

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