𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Monotonicity of Optimal Transportation Plans

✍ Scribed by J.A. Cuesta-Albertos; C. Matrán; A. Tuero-Dı́az

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
196 KB
Volume
215
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

We obtain analytical properties of the maps that give optimal transportation plans for the L 2 -Wasserstein distance. We take advantage of the monotonicity of such optimal transportation plans to discuss their measurability and continuity. As Ž a main result of independent interest we obtain the a.e. continuity of monotone in . the sense of Zarantonello operators.

📜 SIMILAR VOLUMES

On the Construction of Optimal Monotone
On the Construction of Optimal Monotone Cubic Spline Interpolations
✍ Sigrid Fredenhagen; Hans Joachim Oberle; Gerhard Opfer 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 173 KB

In this paper we derive necessary optimality conditions for an interpolating spline function which minimizes the Holladay approximation of the energy functional and which stays monotone if the given interpolation data are monotone. To this end optimal control theory for state-restricted optimal cont

Optimal multimedia transport on the Inte
Optimal multimedia transport on the Internet
✍ Gerard Parr; Kevin Curran 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 168 KB

Delivering events in a distributed system needs special attention in cases with large numbers of receivers. With traditional solutions, an event producer needs to know all of his event consumers. To deliver an event, the producer has to issue a remote method invocation on a consumer. Alternatively,

On the Monotonicity of Positive Linear O
On the Monotonicity of Positive Linear Operators
✍ M.Kazim Khan; B. Della Vecchia; A. Fassih 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 377 KB

We provide sufficient conditions for a sequence of positive linear approximation operators, L n ( f, x), converging to f (x) from above to imply the convexity of f. We show that, for the convolution operators of Feller type, K n ( f, x), generated by a sequence of iid random variables taking values