Stable multiplicities in the length spectrum of Riemann surfaces

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Conjugacy classes in the free group on two generators which have the same trace for all two-dimensional representations form a trace class. The number of classes in a trace class is called the stable multiplicity of the trace class. We prove a condition for the stable multiplicity to be minimal, and suggest a necessary and sufficient condition.

Original languageEnglish
Pages (from-to)129-144
Number of pages16
JournalIsrael Journal of Mathematics
StatePublished - 1998


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