Research Published in American Mathematical Monthly
Posted: Thursday, April 14, 2016
Clark Kimberling, University of Evansville professor of mathematics, and Kenneth Stolarsky, professor emeritus of mathematics at the University of Illinois, have an article in the American Mathematical Monthly.
Entitled "Slow Beatty Sequences, Devious Convergence, and Partitional Divergence," the article introduces the term "devious convergence" for any sequence (x_n) that converges to a number L so slowly that for every huge number B, there is some L' other than L such that x_n = L' for more than B numbers n.
The article then introduces the term "partitional divergence." Examples of limiting behavior for both types are drawn from Beatty sequences.