  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.
