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Particle systems and partial differential equations. (English) Zbl 1167.82351

Chang, Sun-Yung Alice (ed.) et al., Lectures on partial differential equations. Proceedings of the conference, Hsinchu, Taiwan, September 2000 in honor of Louis Nirenberg’s 75th birthday. Somerville, MA: International Press (ISBN 1-57146-111-6/hbk). New Stud. Adv. Math. 2, 217-222 (2003).
Summary: In a beautiful example of scientific exposition the author explains the heuristics of the relationships of the topics in the title.
For the entire collection see [Zbl 1034.35002].

MSC:

82C22 Interacting particle systems in time-dependent statistical mechanics
35L60 First-order nonlinear hyperbolic equations
35Q53 KdV equations (Korteweg-de Vries equations)
39A05 General theory of difference equations
60K35 Interacting random processes; statistical mechanics type models; percolation theory