4 papers
math.SP2026
Intertwining the line bundle and Grauert-tube Hardy quantizations of the round 2-sphere
Hy P. G. Lam
We compare two natural Hardy quantizations carried by the unit cosphere bundle of the round two-sphere. Through , the cosphere bundle is the unit circle bundle of t…
cs.LG2026
Depth-Dependent Hidden-State Collapse in Dynamical System Autoencoders for LiDAR Point-Cloud Classification
Patricia Medina, Hy P. G. Lam
We study Dynamical System Autoencoders (DSAE) for LiDAR point-cloud classification using spatial coordinates and Product Coefficient feature augmentations. The experiments compare…
math.AP2026
Sampleability transport, nonlinear regularization, and the porous medium flow
Hy P. G. Lam
We study the Wasserstein projection of a compactly supported probability measure onto the class of measures whose density ratio is bounded, and we place this projection in a broade…
math.DS2026
First variation of flat traces on negatively curved surfaces
Hy Lam
For a closed negatively curved surface the flat trace of the geodesic Koopman operators is the periodic orbit distribution \[ \mathrm{Tr}^{\flat} V_{g…