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math.AG2025
Structural Invariance of Green--Griffiths--Demailly Thresholds on Compact Complex Orbifolds
Gunhee Cho, Myungsin Cho
We prove that the Green--Griffiths--Demailly (GGD) hyperbolicity thresholds are structurally invariant. In other words, the minimal jet order and asymptotic growth rate at which in…
math.PR2025
Deterministic--Distance Couplings of Brownian Motions on Radially Isoparametric Manifolds
Gunhee Cho, Hyun Chul Jang, Taeik Kim
We develop a unified geometric framework for coadapted Brownian couplings on radially isoparametric manifolds (RIM)--spaces whose geodesic spheres have principal curvatures $κ_1(r)…
quant-ph2025
Support-Projected Petz Monotone Geometry of Pure Two-Qubit Families: Universal Three-Channel Decomposition and Non-Reduction of Curvature Invariants
Gunhee Cho, Jeongwoo Jae
We develop a support-projected Petz monotone geometry for pure two-qubit families, obtained by pulling back arbitrary Petz monotone quantum metrics to circuit-defined submanifolds…