ABSOLUTELY CONTINUOUS CURVES IN EXTENDED WASSERSTEIN−ORLICZ SPACES

On absolutely continuous curves in the Wasserstein space over R and their representation by an optimal Markov process.1. WASSERSTEIN SPACE OVER R

In [19], we paid some attention to the L^-spaces, induced by a pseudo L°°-space in a way as described by J.-P. Bertrandias in [2]. In the present paper, we concentrate on the

We show that for a large class of maps on manifolds of arbitrary finite dimension, the existence of a Gibbs–Markov–Young structure (with Lebesgue as the reference measure) is

ing states in quantum mechanics, Helv.. RUELLE, A remark on bound states in potential scattering theory, Nuovo Cimento,. t. ; Scattering theory in

As a standard example they show that there exists a unique gradient flow of the relative entropy functional on the Wasserstein space P 2 ( R n ) whose trajectories coincide

These quantum regimes are discussed in connection with classical anomalous diffusion, Anderson localization in disordered systems and van Hove.. singularities

Keywords: Wasserstein space; Geodesic and Convex Principal Component Analysis; Fréchet mean; Functional data analysis; Geodesic space;.. Inference for family

Convergence of an estimator of the Wasserstein distance between two continuous probability distributions.. Thierry Klein, Jean-Claude Fort,