Topics in optimal transportation by CГ©dric Villani

Cover of: Topics in optimal transportation | CГ©dric Villani

Published by American Mathematical Society in Providence, RI .

Written in English

Read online

Subjects:

  • Transportation problems (Programming),
  • Monge-Ampère equations

Edition Notes

Includes bibliographical references (p. 349-362) and index.

Book details

StatementCédric Villani.
SeriesGraduate studies in mathematics -- v. 58
Classifications
LC ClassificationsQA402.6 .V56 2003
The Physical Object
Paginationxvi, 370 p. :
Number of Pages370
ID Numbers
Open LibraryOL15537546M
ISBN 10082183312X
LC Control Number2003040350
OCLC/WorldCa51477002

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Author: Cédric Villani; Publisher: American Mathematical Soc. ISBN: X Category: Mathematics Page: View: DOWNLOAD NOW» Cedric Villani's book is a lucid and very readable documentation of the tremendous recent analytic progress in ``optimal mass transportation'' theory and of its diverse and unexpected applications in optimization, nonlinear PDE.

In a novel approach to the subject, the book both surveys the topic and includes a chapter of problems, making it a particularly useful graduate textbook.

InGaspard Monge defined the problem of “optimal transportation” (or the transferring of mass with the least possible amount of work), with applications to engineering in mind. Topics in Optimal Transportation (Graduate Studies in Mathematics, Vol.

58) UK ed. Edition by Cedric Villani (Author) out of 5 stars 2 ratings. ISBN ISBN X. Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book.

Cited by: Geometry of Optimal Transportation -- Ch. Brenier\'s Polar Factorization Theorem -- Ch. The Monge-Ampere Equation -- Ch. Displacement Interpolation and Displacement Convexity -- Ch. Geometric and Gaussian Inequalities -- Ch. The Metric Side of Optimal Transportation -- Ch. A Differential Point of View on Optimal Transportation.

This graduate textbook reviews results about the existence and regularity of the optimal mass transportation problem, introducing such topics as displacement interpolation, its applications to functional inequalities with geometric content, the Monge-Kantorovich problem, and a differential formulation of the transportation problem inspired by fluid mechanics/5(4).

ISBN: X OCLC Number: Notes: Bibliogr. Index. Description: XVI p.: ill. ; 26 cm. Contents: Introduction The Kantorovich duality Geometry of optimal transportation Brenier's polar factorization theorem The Monge-Ampere equation Displacement interpolation and displacement convexity Geometric and Gaussian inequalities The metric side of.

In a novel approach to the subject, the book both surveys the topic and includes a chapter of problems, making it a particularly useful graduate textbook. InGaspard Monge defined the problem of "optimal transportation" (or the transferring of mass with the least possible amount of work), with applications to engineering in mind.

This is the first comprehensive introduction to the theory of mass transportation with its many – and sometimes unexpected – applications. In a novel approach to the subject, the book both surveys the topic and includes a chapter of problems, making it a particularly useful graduate textbook.

InGaspard Monge defined the problem of ‘optimal transportation’ (or the transferring of. In a novel approach to the Topics in optimal transportation book, the book both surveys the topic and includes a chapter of problems, making it a particularly useful graduate textbook.

InGaspard Monge defined the problem of "optimal transportation" (or the transferring of mass with the least possible amount of work), with applications to engineering in : Cedric Villani.

In a novel approach to the subject, The book both surveys the topic and includes a br>Chapter of problems, making it a particularly useful graduate textbook. Ingaspard monge defined the problem of optimal transportation (or the transferring of mass with the least possible amount of work), with applications to engineering in mind.5/5(2).

Topics in optimal transportation | Cédric Villani | download | B–OK. Download books for free. Find books. Destination page number Search scope Search Text Search scope Search Text. Topics in Optimal Transportation by Cédric Villani applications.

In a novel approach to the subject, the book both surveys the topic and includes a chapter of problems, making it a particularly useful graduate textbook. InGaspard Monge defined the problem of 'optimal transportation' (or the transferring of mass with the least /5(4).

Topics in optimal transportation Villani C. Categories: Mathematics. File: DJVU, MB. Send-to-Kindle or Email.

You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then. Buy Topics in Optimal Transportation (Graduate Studies in Mathematics) UK ed.

by Cédric Villani (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders.5/5(2). By Cédric Villani: pp., US$, isbn 0‐‐‐X (American Mathematical Society, Providence, RI, ).Cited by: Bernard Kolman, Robert E.

Beck, in Elementary Linear Programming with Applications (Second Edition), Degeneracy. Degeneracy in a transportation problem has the same meaning as it did for a general linear programming problem. That is, a basic variable has value zero. This means that we have designated a route as being used although no goods are being sent along it.

From the reviews: "The book is aimed to old and new problems of optimal transport. This meticulous work is based on very large bibliography that is converted into a very valuable monograph that presents many statements and theorems written specifically for this approach, complete and self-contained proofs of the most important results, and extensive bibliographical notes."Cited by: Topics in Optimal Transportation Theory.

Our main sources for the optimal transportation problems and Wasserstein distances are the book of Optimal transport: old and new [30], Topics in. Optimal transport (OT) theory can be informally described using the words of the French mathematician Gaspard Monge (): A worker with a shovel in hand has to move a large pile of sand lying on a construction site.

The goal of the worker is to erect with all that sand a target pile with a prescribed shape (for example, that of a giant sand castle). Naturally, the worker wishes to Cited by: 1. Topics in Optimal Transportation, Cedric Villani, AMS-GSM 58 2.

Partial Differential Equations and Monge-Kantorovich Mass Transfer, L.C. Evans 3. Optimal Transportation and Applications, (Editors: Caffarelli and Salsa), Springer LNM 4. Optimal Transport Old and New, Cedric Villani, Springer SCSM There will be no exams.

Topics in Optimal Transportation (Graduate Studies in Mathematics). Book Binding:Hardback. World of Books USA was founded in We want your experience with World of Books to be enjoyable and problem free. " See all. Originating from a graduate course, the present volume is at once an introduction to the field of optimal transportation and a survey of the research on the topic over the last 15 years.

The book is intended for graduate students and researchers, and it covers both theory and applications. Zohreh Khooban, in Logistics Operations and Management, Pricing of Bottlenecks at Optimal Time in a Transportation Problem.

The conventional transportation problem deals with minimizing the cost of transporting a homogeneous product from various supply points to a number of destinations without caring for the time of transportation.

By increasing the bottleneck at time T, we can have a. Topics in Optimal Transportation (Graduate Studies in Mathematics, Vol. 58) (Graduate Studies in Mathematics) 1 edition By Cedric Villani Go to the editions section to read or download ebooks. In mathematics and economics, transportation theory or transport theory is a name given to the study of optimal transportation and allocation of problem was formalized by the French mathematician Gaspard Monge in In the s A.N.

Tolstoi was one of the first to study the transportation problemin the collection Transportation Planning Volume I for. Topics in Optimal Transportation This is the first comprehensive introduction to the theory of mass Transportation with its many - and sometimes unexpected - applications.

In a novel approach to the subject, the book both surveys the topic and includes a chapter of problems, making it a particularly useful graduate textbook. See [Lo2] for a survey in the same spirit with a slightly different selection of topics.

Optimal transport theory is concerned with the behavior of transport between two probability measures in a metric space. We say that such transport is optimal if it minimizes a certain cost function typically defined from the distance of the metric space.

theory of Optimal Transport. Several of these ideas have been used, and explained in deeper details, during the other classes of the Summer School “Optimal transportation: Theory and applications” which were the occasion for the redaction of these notes.

The style that was chosen when preparingCited by: 8. The author presents a broad overview of this area, supplying complete and self-contained proofs of all the fundamental results of the theory of optimal transport at the appropriate level of generality.

Thus, the book encompasses the broad spectrum ranging from basic theory to the most recent research results. Theory of Optimal Search, 2 nd edition Lawrence D.

Stone Topics in Operations Research Series. This book provides the first unified presentation of the basic results of search theory. A Bayesian approach is used with a prior distribution for the target's location and a function relating the conditional probability of detecting a target to.

The transportation problem can be formalized as the problem of finding the optimal way to transport a given measure into another with the same mass.

In contrast to the Monge-Kantorovitch problem, recent approaches model the branched structure of such supply networks as minima of an energy functional whose essential feature is to favour wide roads.

10 Routes to Transportation Savings. This infographic, based on the popular white paper, Supply Chains: Where to Find the Biggest, Fastest Transportation Savings, offered readers an interesting visual, outlining the easiest to hardest ways to save money on transportation.

Topics in optimal transportation. American Mathematical Society, [7] C. VILLANI. Optimal Transport, Old and New.

Springer, Luigi Ambrosio (SNS) The. Since optimal transportation seems to be popping up all over the place in economics and many other elds, I thought it might be worthwhile to try to give a very brief introduction so you can at least nod and say,\oh, yeah, we did some of that with Koenker in his topics.

Research in Transportation Economics is a journal devoted to the dissemination of high quality economics research in the field of transportation. The content covers a wide variety of topics relating to the economic aspects of transportation, government regulatory policies regarding transportation, and issues of concern to transportation.

This will be an introductory graduate level course on Optimal Transportation theory. We will study Monge's problem, Kantorovich's problem, c-concave functions (also in the Riemannian setting), Wasserstein distance and geodesics (including a PDE formulation), applications to inequalities in convex analysis, as well as other topics, time permitting.

Analysis on Polish Spaces and an Introduction to Optimal Transportation; The book also includes a straightforward and gentle introduction to the theory of optimal transportation, illustrating just how many of the results established earlier in the book play an essential role in the theory.

[V I] Cedric, Villani, Topics in Optimal Cited by: 4. Topics in Optimal Transportation Hardcover – April 1 by Cedric Villani (Author) out of 5 stars 2 ratings. See all 4 formats and editions Hide other formats 5/5(2). Buy Topics In Optimal Transportation by Cedric Villani (ISBN: ) from Amazon's Book Store.

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