On the lower Markov spectrum |
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Authors: | Mary E Gbur |
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Institution: | (1) Mathematics Department, The Ohio State University, 231 West 18th Avenue, 43210 Columbus, OH, USA |
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Abstract: | C. Hightower found two infinite sequences of gaps in the Markov spectrum, (
n
,
n
) and (
n
,
n
) with
n
and
n
both Markov elements, converging to
. This paper exhibits Markov elements
n
*
and
n
*
such that, for alln 1, (
n
*
,
n
) and (
n
n
*
) are gaps in the Markov spectrum. Other results include showing that, for alln 1,
n
is completely isolated, while the other endpoints of the gaps are limit points in the Markov spectrum. |
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Keywords: | |
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