@inbook{10.2307/j.ctt7t77g.23,
ISBN = {9780691142494},
URL = {http://www.jstor.org/stable/j.ctt7t77g.23},
abstract = {In this chapter, we prove Theorem 4.2. For the sake of efficiency, our proof will be essentially algebraic. However, a clear geometric picture underlies our constructions. We discussed this geometric picture in §19.2. The reader might want to reread that section before going through the proof here. Also, the reader might want to review the proof we gave of Lemma 4.3 in § 18.3. Our proof here is similar to the one given there.LetAbe any irrational parameter. Let$\{ {p_n}/{q_n}\} $denote the superior sequence associated toA. LetSbe a monotone subsequence of the superior sequence. We},
bookauthor = {Richard Evan Schwartz},
booktitle = {Outer Billiards on Kites (AM-171)},
pages = {181--184},
publisher = {Princeton University Press},
title = {Existence of Strong Sequences},
year = {2009}
}