142 citations · 230 across the 39 of their papers we have counts for
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A generalized dual maximizer for the Monge--Kantorovich transport problem
Mathias Beiglböck, Christian Léonard, Walter Schachermayer
The dual attainment of the Monge--Kantorovich transport problem is analyzed in a general setting. The spaces are assumed to be polish and equipped with Borel probability mea…
On the Duality Theory for the Monge--Kantorovich Transport Problem
Mathias Beiglboeck, Christian Leonard, Walter Schachermayer
The paper is accompanying "A general Duality Theorem for the Monge-Kantorovich Transport Problem". We explain the methods used in this article in an elementary setting and present…
A General Duality Theorem for the Monge--Kantorovich Transport Problem
Mathias Beiglboeck, Christian Leonard, Walter Schachermayer
The duality theory of the Monge--Kantorovich transport problem is analyzed in a general setting. The spaces are assumed to be polish and equipped with Borel probability meas…
Duality for Borel measurable cost functions
Mathias Beiglböck, Walter Schachermayer
We consider the Monge-Kantorovich transport problem in an abstract measure theoretic setting. Our main result states that duality holds if is an arbitra…
Optimal and better transport plans
Mathias Beiglböck, Martin Goldstern, Gabriel Maresch +1
We consider the Monge-Kantorovich transport problem in a purely measure theoretic setting, i.e. without imposing continuity assumptions on the cost function. It is known that trans…
Characterization of optimal Transport Plans for the Monge-Kantorovich-Problem
Walter Schachermayer, Josef Teichmann
We prove that -cyclically monotone transport plans optimize the Monge-Kantorovich transportation problem under an additional measurability condition. This measurability cond…