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Optimal Transport

March 10 - June 13, 2008


Organizing Committee | Activities | Scientific Overview

Organizing Committee

Andrea Bertozzi (University of California, Los Angeles (UCLA), Mathematics)
Yann Brenier (Université de Nice Sophia Antipolis)
Jose Carrillo (Autonomous University of Barcelona, ICREA)
Wilfrid Gangbo (Georgia Institute of Technology)
Peter Markowich (University of Cambridge, Department of Applied Mathematics and Theoretical Physics)
Jean-Michel Morel (École Normale Supérieure de Cachan, CMLA)

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Activities

There will be an active program of research activities, seminars and workshops throughout the period and core participants will be in residence at IPAM continuously for these fourteen weeks. The program will open with tutorials, and will be punctuated by four major workshops and a culminating workshop at UCLA's Lake Arrowhead Conference Center. Several distinguished senior researchers will be in residence for the entire period. Between the workshops there will be a program of activities involving the long-term and short-term participants, as well as visitors.

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Scientific Overview

The general problem of irrigation and transportation in physics and biology is to transport in the most economical way a source mass distribution onto a fixed well distribution. Both source and wells distributions are usually modeled as positive measures in a Cartesian space or in a metric space. This problem can be looked at as a generalization of the optimal assignment or the optimal flow problem in operational research, in which case the subjacent space is a fixed graph. In the new more general setting, the irrigation network is itself an unknown of the problem. The examples are manifold: lungs, blood vessels, irrigation or draining networks, natural or artificial. On the side of urban optimization, the question ranges from the optimization of the supply networks (power, water, wires) to the public transportation and traffic optimization problem. The simplest and more noble and antique version of the problem is the Monge-Kantorovich problem, where the cost assigned to transportation is just an increasing function of distance. Fluid mechanics arguments have to be added as soon as the transportation network is optimized with a flow-dependent cost as is natural in most of the above mentioned situation: the thicker the vessel, the road, the channel, the wire etc., the cheaper the transportation.

The aim of the workshop is to put together physicists, biologists, mathematicians working on the optimization of transportation networks.

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Participation

This long-term program will involve a community of senior and junior researchers. The intent is for long-term participants to have an opportunity to learn about the mathematics of optimal transport from the perspective of multiple fields and to meet a diverse group of people and have an opportunity to form new collaborations. In addition to these activities, there will be opening tutorials, four workshops, and a culminating workshop at Lake Arrowhead.

Full and partial support for long-term participants is available, and those interested are encouraged to fill out an online application at the bottom of this page. Support for individual workshops will also be available, and may be applied for through the online application for each workshop. We are especially interested in applicants who are interested in becoming core participants and participating in the entire program (March 10 - June 13, 2008), but give consideration to applications for shorter periods. Funding for participants is available at all academic levels, though recent PhD's, graduate students, and researchers in the early stages of their career are especially encouraged to apply.

Encouraging the careers of women and minority mathematicians and scientists is an important component of IPAM's mission and we welcome their applications.

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Contact Us:

Institute for Pure and Applied Mathematics (IPAM)
Attn: OT2008
460 Portola Plaza
Los Angeles CA 90095-7121
Phone: 310 825-4755
Fax: 310 825-4756
Email: ipam@ucla.edu
Website: http://www.ipam.ucla.edu/programs/ot2008/

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