Stable multiplicities in the length spectrum of Riemann surfaces |
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Authors: | David Ginzburg Zeév Rudnick |
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Institution: | (1) Raymond and Beverley Sackler School of Mathematical Sciences, Tel Aviv University, 69978 Ramat Aviv, Tel Aviv, Israel |
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Abstract: | 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. |
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