Optimal transport of signed measures: existence, uniqueness and fractal structure part I: the separated-support case research announcement, with a numerical validation report

Bwo'Nyahre Baidi Barthelemy, Kouakep Tchaptche Yannick, Houpa Danga Duplex Elvies

We announce a rigorous theory of optimal transport for signed (real) measures on Rd in the separated-support regime: the supports of the positive and negative parts of measures are…