In search of Robbins stability
Number Theory
2007-05-23 v2 Combinatorics
Abstract
We speculate on whether a certain p-adic stability phenomenon, observed by David Robbins empirically for Dodgson condensation, appears in other nonlinear recurrence relations that "unexpectedly" produce integer or nearly-integer sequences. We exhibit an example (number friezes) where this phenomenon provably occurs.
Keywords
Cite
@article{arxiv.math/0409535,
title = {In search of Robbins stability},
author = {Kiran S. Kedlaya and James G. Propp},
journal= {arXiv preprint arXiv:math/0409535},
year = {2007}
}
Comments
10 pages; to appear in the David Robbins memorial issue of Advances in Applied Mathematics