There are infinite processes (matrix products, continued fractions, (r, s)-matrix continued fractions, recurrence sequences) which, under certain circumstances, do not converge but instead diverge in a very predictable way. We give a survey of results in this area, focusing on recent results of the authors.
Seminar on Mathematical Sciences
Keio University, Department of Mathematics, Yokohama
Bowman, D., & McLaughlin, J. (2006). Continued Fractions and Generalizations with Many Limits: A Survey. Seminar on Mathematical Sciences, 35, 19-38. Retrieved from https://digitalcommons.wcupa.edu/math_facpub/59
Proceedings of the Conference on Diophantine Analysis and Related Fields, Keio University, Yokohama, JAPAN, 7-10 March, 2006.
Preprint version is available here.