Optimal transportation and applications

Optimal transportation and applications

by Cedric Villani, Giuseppe Buttazzo, Luigi Ambrosio, Yann Brenier

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Leading researchers in the field of Optimal Transportation, with different views and perspectives, contribute to this Summer School volume: Monge-Ampère and Monge-Kantorovich theory, shape optimization and mass transportation are linked, among others, to applications in fluid mechanics granular material physics and statistical mechanics, emphasizing the attractiveness of the subject from both a theoretical and applied point of view. The volume is designed to become a guide to researchers willing to enter into this challenging and useful theory.

Discussion questions for Optimal transportation and applications

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  1. 1

    How does the collaboration of multiple leading researchers with diverse perspectives shape your understanding of optimal transportation compared to reading a single-author text?

  2. 2

    In what ways does the bridge between abstract mathematical theory and real-world applications in fluid mechanics or physics shift your view of how mathematics describes the physical universe?

  3. 3

    Consider a time in your own life when you had to find the most efficient way to allocate limited resources or move between two points; how does the concept of "optimal transport" metaphorically apply to your personal decision-making?

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