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Percy A. Deift

New York University · Mathematics
Spectral theory inverse spectral theory integrable systems Riemann-Hilbert problems

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Percy A. Deift is the Silver Professor of Mathematics at New York University, Department of Mathematics. His research focuses on spectral theory and inverse spectral theory, integrable systems, and Riemann-Hilbert problems. He is known for his work on integrable systems, including dynamical systems such as the Korteweg de Vries equation and the Nonlinear Schroedinger Equation, as well as topics like orthogonal polynomials and random matrix theory. His research also involves asymptotic analysis and the application of the Riemann-Hilbert Problem and nonlinear steepest-descent method. Deift's publications include studies on Toeplitz determinants, long-time asymptotics for solutions of the NLS equation, and quantization schemes.


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Percy Deift is a mathematician known for his work in mathematical physics, random matrix theory, and integrable systems. His research focuses on orthogonal polynomials, Riemann-Hilbert problems, and asymptotic analysis. Deift has made significant contributions to the study of random matrices, including the distribution of the longest increasing subsequence of random permutations and universality questions in random matrix theory. His work also addresses inverse scattering problems, nonlinear wave equations, and the asymptotic behavior of solutions to integrable systems such as the KdV and NLS equations. Deift's research has had a profound impact on the understanding of complex systems and their long-time behavior.

Source: google_scholar · 101 words
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