つづき

5 Conclusion
In Villani's work, we have seen not only rigorous mathematical analysis providing deep insights into physical
behavior, but also important new mathematics emerging from the study of natural phenomena, in the spirit
of Maxwell and Boltzmann. Besides his research articles, Villani has written extensive surveys and books
[48, 50, 49, 51], and, through these, as well as the insights of his work, he has inspired a generation of
young mathematicians with deep, rich, physically motivated mathematical questions. We are witnessing the
beginning of Villani's spectacular career and in
uence in shaping the directions of analysis and mathematics.

(引用終り)