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math.AP2018
Second order differentiation formula on spaces
Nicola Gigli, Luca Tamanini
We prove the second order differentiation formula along geodesics in finite-dimensional spaces. Our approach strongly relies on the approximation of -geodesics by e…
math.AP2018
Benamou-Brenier and duality formulas for the entropic cost on spaces
Nicola Gigli, Luca Tamanini
In this paper we prove that, within the framework of spaces with , the entropic cost (i.e. the minimal value of the Schrödinger problem) admits: - a threef…
math.AP2018
Second order differentiation formula on spaces
Nicola Gigli, Luca Tamanini
Aim of this paper is to prove the second order differentiation formula for functions along geodesics in spaces with . This formula is new even in…