Path Functionals over Wasserstein Spaces

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Characterization of absolutely continuous curves in Wasserstein spaces (2006, background): “The problem of existence of curves minimizing an energy functional, more general than the length functional, in the space Pp(X), is studied in [BBS05].”
Absolute continuity and summability of transport densities: simpler proofs and new estimates (2009, background): “Actually, the only bibliographical references which present specific useful tools for the proofs are [1], [2], [4] and [6], while we refer to [19], [18] and [12] for the general references on transport, displacement convexity and Γ−convergence; [5, 13, 14, 15, 16] are the main references for transpo”
A User’s Guide to Optimal Transport (2013, unknown): “Santambrogio ([16]) and Bianchini-Brancolini [15].”