Showing 2026Show all
3 papers · 1 filter
eess.IV2026
Noise Stability and Rotational Equivariance of Image-Induced Hamiltonian Spectra for Robust Unsupervised Segmentation
Soumic Sarkar
Unsupervised segmentation methods that embed an image as the potential of a Schrödinger-type Hamiltonian and read out object structure from its low-lying eigenstates have demonstra…
math.CV2026
Exact Contraction Rates via the Berkson--Porta Representation: A Sharp Threshold and Its Herglotz-Kernel Obstruction
Soumic Sarkar
Semigroups of holomorphic self-maps of the unit disc with an interior fixed point are, by the classical Berkson--Porta representation, entirely determined by a single holomorphic f…
math.DS2026
Contraction Analysis of Holomorphic Dynamical Systems via the Intrinsic Kobayashi Metric
Soumic Sarkar
This paper studies incremental stability of holomorphic dynamical systems through the infinitesimal Kobayashi metric, an intrinsic pseudometric on complex manifolds invariant under…