5 papers
Weak Asymptotic Symmetry of Quasisymmetric Embeddings on Quasilines
Katsuhiko Matsuzaki, Fei Tao
We investigate the relationship between weak asymptotic symmetry () and asymptotic symmetry () for quasisymmetric maps associated with planar quasilines.…
Graph Weldings Associated with Functions in Zygmund, , , and
Katsuhiko Matsuzaki, Fei Tao
Let be a continuous function. We define the graph welding associated with as the homeomorphism \[ φ= G^{-1}\circ F\colon \mathbb{R}\to\mathbb{…
Boundary Characterizations of Little Bloch and Functions on the Half-Plane
Katsuhiko Matsuzaki, Fei Tao
We extend Pommerenke's characterizations of boundary curves of conformal mappings in terms of the little Bloch and conditions from the unit disk to the…
CASHEW: Stabilizing Multimodal Reasoning via Iterative Trajectory Aggregation
Chaoyu Li, Fei Tao, Pooyan Fazli
Vision-language models achieve strong performance across a wide range of multimodal understanding and reasoning tasks, yet their multi-step reasoning remains unstable. Repeated sam…
Characterization of Asymptotically Smooth Chord-arc Curves
Katsuhiko Matsuzaki, Fei Tao
We construct an explicit example of an asymptotically conformal chord-arc curve that fails to be asymptotically smooth. This implies that a function belonging to both the little Bl…