International Journal of Mathematics and Mathematical Sciences 
Volume 25 (2001), Issue 12, Pages 813-819
doi:10.1155/S016117120100535X

On the application of ergodic theory to alternating Engel series

C. Ganatsiou

University of Thessalia, School of Technological Sciences, Department of Civil Engineering, Section of Mathematics, Volos, Greece

Received 30 May 2000

Abstract

We investigate the ergodic behaviour of the basic operator which generates the modified Engel-type alternating series representations of any number in (0,1] in terms of rationals.