On the condensation points of the lagrange spectrum |
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Authors: | M Pavone |
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Institution: | 1. Department of Mathematics, University of California, Berkeley, 94720, Berkeley, CA, U.S.A.
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Abstract: | For a positive integerN, L(N) denotes the set of Lagrange values of all sequences (a k:k=0, ±1, ±2,…) of positive integers with lim sup k ak=N. It is shown that for anyN≥3L(N) has infinitely many condensation points. Such points can be realized as Markov values of symmetric doubly periodic sequences whose period consists of a semi-symmetric tuple. |
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