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math.LO2026
Raising to powers on the unit circle
Yilong Zhang
We study the expansion of the real field by the graphs of power functions on the unit circle. Under a natural number-theoretic conjecture, we prove that adding such dense subsets d…
math.LO2025
Green points in the reals
Yilong Zhang
We construct an expansion of a real closed field by a multiplicative subgroup adapting Poizat's theory of green points. Its theory is strongly dependent, and every open set definab…