3 papers
Regularity of the positional penalization function in inter-sign optimal transport on real measures
Bwo'nyahre Baidi Barthelemy, Kouakep Tchaptchie Yannick, Houpa Danga Duplex Elvis
We study the Monge--Kantorovich optimal transport problem between two signed measures~ and~ on convex compact subsets of~, with a positional penalization functi…
Optimal transport of signed fractal measures with dimensional distortion: a variational characterization
Bwo'nyahre Baidi Barthelemy, Kouakep Tchaptchie Yannick, Houpa Danga Duplex Elvis
We extend the optimal transport theory for signed measures supported on Ahlfors-regular fractal sets (Bwo'Nyahre et al., 2026) to allow a controlled dimensional distortion between…
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…