Manuel Cuerno

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math.MG2023

On the reach of isometric embeddings into Wasserstein type spaces

Javier Casado, Manuel Cuerno, Jaime Santos-Rodríguez

We study the reach (in the sense of Federer) of the natural isometric embedding $X ↪ W_{p} (X)$ of $X$ inside its $p$ -Wasserstein space, where $(X, dist)$ i…

math.MG2023

The rival coffee shop problem

Javier Casado, Manuel Cuerno

We show some estimations for the Coffee Shop Problem with a modification respect the original statement: there is a rival competing against us. We present different results based o…