Skip to content
Register Sign in Wishlist

Optimal Transport
Theory and Applications

£50.99

Part of London Mathematical Society Lecture Note Series

Filippo Santambroggio, Ivan Gentil, Luigi Ambrosio, Alessio Figalli, Peter Topping, Sara Danieri, Guiseppe Savare, Shin-Ichi Ohta, Olivier Besson, Martine Picq, Jérome Poussin, Mathias Beiglbock, Chrsitian Léonard, Walter Schachermayer, François Bolley, Patrick Cattiaux, Arnaud Guillin, Quentin Mérigot
View all contributors
  • Date Published: August 2014
  • availability: Available
  • format: Paperback
  • isbn: 9781107689497

£ 50.99
Paperback

Add to cart Add to wishlist

Other available formats:
eBook


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • The theory of optimal transportation has its origins in the eighteenth century when the problem of transporting resources at a minimal cost was first formalised. Through subsequent developments, particularly in recent decades, it has become a powerful modern theory. This book contains the proceedings of the summer school 'Optimal Transportation: Theory and Applications' held at the Fourier Institute in Grenoble. The event brought together mathematicians from pure and applied mathematics, astrophysics, economics and computer science. Part I of this book is devoted to introductory lecture notes accessible to graduate students, while Part II contains research papers. Together, they represent a valuable resource on both fundamental and advanced aspects of optimal transportation, its applications, and its interactions with analysis, geometry, PDE and probability, urban planning and economics. Topics covered include Ricci flow, the Euler equations, functional inequalities, curvature-dimension conditions, and traffic congestion.

    • Contains short courses which give an accessible introduction to problems of current interest, and research papers which present modern developments
    • The book presents both the theory of optimal transport and some of its many applications
    • Of interest to researchers in pure and applied mathematics, physics, computer science and economics
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: August 2014
    • format: Paperback
    • isbn: 9781107689497
    • length: 316 pages
    • dimensions: 228 x 152 x 18 mm
    • weight: 0.47kg
    • availability: Available
  • Table of Contents

    Part I. Short Courses:
    1. Introduction to optimal transport theory Filippo Santambroggio
    2. Models and applications of optimal transport in economics, traffic and urban planning Filippo Santambroggio
    3. Logarithmic Sobolev inequality for diffusions and curvature-dimension condition Ivan Gentil
    4. Lecture notes on variational methods for incompressible Euler equations Luigi Ambrosio and Alessio Figalli
    5. Ricci flow: the foundations via optimal transportation Peter Topping
    6. Lecture notes on gradient flows and optimal transport Sara Danieri and Guiseppe Savare
    7. Ricci curvature, entropy, and optimal transport Shin-Ichi Ohta
    Part II. Survey and Research Papers:
    8. Computing the time-continuous optimal mass transport without Lagrangian techniques Olivier Besson, Martine Picq and Jérome Poussin
    9. On the duality theory for the Monge–Kantorovich transport problem Mathias Beiglbock, Chrsitian Léonard and Walter Schachermayer
    10. Optimal coupling for mean field limits François Bolley
    11. Functional inequalities via Lyapunov conditions Patrick Cattiaux and Arnaud Guillin
    12. Size of the medial axis and stability of Federer's curvature measures Quentin Mérigot.

  • Editors

    Yann Ollivier, Université de Paris XI
    Hervé Pajot has been a full professor at the Fourier Institute (University of Grenoble) since 2003. He is the author of Analytic Capacity, Rectifiability, Menger Curvature and the Cauchy Integral, considered a standard reference in the subject. He is currently chief editor of the Annales de l'Institut Fourier.

    Hervé Pajot, Université de Grenoble
    Yann Ollivier is a research scientist at the CNRS, Paris-Sud (Saclay) University, France. His research focusses on various areas of pure and applied mathematics, always featuring a strong interaction between geometric and probabilistic aspects, such as the geometry of random groups, the curvature of Markov chains on metric spaces, statistical viewpoints on general relativity, or the mathematics of artificial intelligence. He is the recipient of several prizes, including the Bronze Medal of the CNRS.

    Cedric Villani, Université de Paris VI (Pierre et Marie Curie)
    Cedric Villani is the director of the Institut Henri Poincaré, Paris, and a professor at the University of Lyon. He is the author of two books on optimal transport, and was awarded the Fields medal at the 2010 International Congress of Mathematicians in Hyderabad. He often serves as a spokesman for the French mathematical community.

    Contributors

    Filippo Santambroggio, Ivan Gentil, Luigi Ambrosio, Alessio Figalli, Peter Topping, Sara Danieri, Guiseppe Savare, Shin-Ichi Ohta, Olivier Besson, Martine Picq, Jérome Poussin, Mathias Beiglbock, Chrsitian Léonard, Walter Schachermayer, François Bolley, Patrick Cattiaux, Arnaud Guillin, Quentin Mérigot

Related Books

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon
×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×