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Abstract
The primary purpose of this note is to provide an instructional summary of the state of the art regarding cyclic monotonicity and related notions. We will also present how these notions are tied to optimality in the optimal transport (or Monge-Kantorovich) problem, even though cyclic monotonicity is simply a property of a set and can be studied on its own merit.
Author information
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LD
Luigi De Pascale
Dip. di Matematica ed Informatica, Università degli Studi di Firenze, Firenze, Italy