Brenier's convexity conjecture for averaged entropy in incompressible optimal transport
Given probability measures η,γ∈Π(Leb,Leb)\eta,\gamma\in\Pi(\mathrm{Leb},\mathrm{Leb})η,γ∈Π(Leb,Leb), let (ct,vt)0≤t≤1(c_t,v_t)_{0\leq t\leq1}(ct,vt)0≤t≤1 be a minimizer of the multiphase incompressible optimal transport problem,…
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