Existence and uniqueness of the Schrödinger system on SO(2) is established by showing a fixed-point recursion is contractive in Hilbert's projective metric, yielding a geometric controller for optimal density evolution between positive continuous densities.
Schr¨ odinger Bri dge Over A Compact Connected Lie Group,
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.OC 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
A Geometric Solution of the Schr\"odinger Bridge Problem on $\mathsf{SO}(2)$ via Stochastic Optimal Control
Existence and uniqueness of the Schrödinger system on SO(2) is established by showing a fixed-point recursion is contractive in Hilbert's projective metric, yielding a geometric controller for optimal density evolution between positive continuous densities.