# The dynamical Schr\"odinger problem in abstract metric spaces

@inproceedings{Monsaingeon2020TheDS, title={The dynamical Schr\"odinger problem in abstract metric spaces}, author={L{\'e}onard Monsaingeon and Luca Tamanini and Dmitry Vorotnikov}, year={2020} }

In this paper we introduce the dynamical Schrödinger problem on abstract metric spaces, defined for a wide class of entropy and Fisher information functionals. Under very mild assumptions we prove a generic Gamma-convergence result towards the geodesic problem as the noise parameter ε ↓ 0. We also investigate the connection with geodesic convexity of the driving entropy, and study the dependence of the entropic cost on the parameter ε. Some examples and applications are discussed. MSC [2020…

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