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math.FA2026
Rough paths below the Young threshold: an exact scale calculus and the locality phase transition at one quarter
Zongjian Han, Yuanhe Luo
Since Young's 1936 theorem, irregular integration has been organized around the threshold 1/2: above it the path determines the integral, while below it higher-order data are neede…
math.FA2026
The completion of a continuous inverse algebra need not be a continuous inverse algebra
Zongjian Han
In 2006 Neeb asked whether the Hausdorff completion of a continuous inverse algebra must again be a continuous inverse algebra. The noncommutative case remained open, while the com…