TY  - BOOK
AU  - Baradat,A.
AU  - Lavenant,H.
TI  - Regularized unbalanced optimal transport as entropy minimization with respect to branching Brownian motion
T2  - Astérisque
SN  - 9782379052118
U1  - 519.233  23rd
PY  - 2025///
CY  - Paris
PB  - Société Mathématique de France
KW  - Optimal Transport
KW  - Branching Brownian Motion
KW  - Entropy (Information Theory)
N1  - Includes bibliography
N2  - The monograph connects a branching Schrödinger problem (minimizing relative entropy with respect to a branching Brownian motion) with regularized unbalanced optimal transport. Using duality and probabilistic analysis, the authors show equivalences between the two formulations, characterize laws with finite entropy relative to branching Brownian motion, analyze the small-noise (diffusivity → 0) limit (linking to partial optimal transport), and present numerical discretizations solved via convex optimization.
ER  -