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Algebraic and ergodic properties of a new continued fraction algorithm with non-decreasing partial quotients
In this paper the Engel continued fraction (ECF) expansion of any x∈(0,1) is introduced. Basic and ergodic properties of this expansion are studied. Also the relation between the ECF and F. Ryde’s monotonen, nicht-abnehmenden Kettenbruch (MNK) is studied.