COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Riemann–Hilbert problems and Stokes phenomena

## Riemann–Hilbert problems and Stokes phenomenaAdd to your list(s) Download to your calendar using vCal - Sheehan Olver (Imperial College London)
- Tuesday 27 April 2021, 16:00-17:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact INI IT. This talk has been canceled/deleted Riemann–Hilbert problems consist of recovering a piecewise analytic function from information about jumps along branch cuts. To quote Wikipedia (as of today): “Stokes phenomenon, discovered by G. G. Stokes (1847, 1858), is that the asymptotic behaviour of functions can differ in different regions of the complex plane”. We demonstrate how Stokes phenomena can lead naturally to a Riemann–Hilbert problem which in fact uniquely determines the analytic function, beginning, of course, with everyone’s favourite example: the Airy function. We further review the applications to Painlevé equations, and finally show that integrals with coalescing saddles can also be reformulated as a Riemann–Hilbert problem, in a way that, perhaps, avoids the computational pitfalls of applying quadrature directly to integral reformulations along steepest descent contours This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:This talk is not included in any other list Note that ex-directory lists are not shown. |
## Other listsDensity functional theory as an incitation to method develop new methods Fresh Thinking At Fitz Leica Scientific Forum## Other talksAre Britainâ€™s Structures for Government Still Fit for Purpose? Observational constraints on the likelihood of 26Al in planet-forming environments Controlling the Pandemic during the SARS-CoV-2 Vaccination Rollout Linear and nonlinear inverse problems in imaging Undecidability in number theory |