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· 2003

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math.DS 1

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2025 1

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CONDITIONAL 1

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There is only one Farey map

math.DS · 2025-06-03 · conditional · novelty 8.0

For any dimension, only three contractive two-symbol simplex-splitting continued fraction algorithms exist, and only the Farey-Monkemeyer map is continuous.

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  • There is only one Farey map math.DS · 2025-06-03 · conditional · none · ref 8

    For any dimension, only three contractive two-symbol simplex-splitting continued fraction algorithms exist, and only the Farey-Monkemeyer map is continuous.