Felix Otto

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20232026

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math.PR2025

From Combinatorics to Partial Differential Equations

Francesco Mattesini, Felix Otto

The optimal matching of point clouds in $R^{d}$ is a combinatorial problem; applications in statistics motivate to consider random point clouds, like the Poisson point proce…

math.PR2023

There is no stationary $p$ -cyclically monotone Poisson matching in 2D

Martin Huesmann, Francesco Mattesini, Felix Otto

We show that for $p > 1$ there is no $p$ -cyclically monotone stationary matching of two independent Poisson processes in dimension $d = 2$ . The proof combines the $p$ -harmonic approxim…

From Combinatorics to Partial Differential Equations

There is no stationary p-cyclically monotone Poisson matching in 2D

There is no stationary $p$ -cyclically monotone Poisson matching in 2D