CORDIS Project
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This project focuses on the Riemann-Hilbert problem, which involves finding analytic functions with specific properties. The research aims to apply this mathematical framework to various fields, including random matrix theory and number theory, to better understand complex systems and their applications in physics and…
The Riemann-Hilbert problem (RHP) has a long and impressive history going back to Riemann's dissertation (1851) and Hilbert's related results at the beginning of the 20th century.
The RHP, which can be described as a problem of finding an analytic function in the complex plane with a prescribed jump across a given curve, is closely connected to one-dimensional singular integral operators, convolution operators, Toeplitz operators, and Wiener-Hopf operators. A great deal of the importance of the…
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