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Optimal Transport in Competition with Reaction: The Hellinger--Kantorovich Distance and Geodesic Curves

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Figure

Figure 1: Top: The curves s 7→ (L R s
Figure 2: The function s 7→ ρ(s) in Theorem 3.1 for different ratios a 0 /a 1 and L = π/2 (left ) and L = π/1.1 (right )
Figure 3: The cone C [0,3π/2] represented as sector in R 2 via (y 1 , y 2 ) = (r cos x, r sin x) and three geodesic curves
Figure 4: Cone geodesic (dotted) for z 0 = [x 0 , √
+5

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