- Series
- Analysis Seminar
- Time
- Tuesday, April 7, 2009 - 4:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 269
- Speaker
- Andrei Kapaev – Indiana University-Purdue University Indianapolis
- Organizer
- Stavros Garoufalidis
Solutions of the simplest of the Painleve equations, PI, y'' = 6y^2+x, exhibit surprisingly rich asymptotic properties as x is large. Using the Riemann-Hilbert problem approach, we find an exponentially small addition to an algebraically large background admitting a power series asymptotic expansion and explain how this "beyond of all orders" term helps us to compute the coefficient asymptotics in the preceding series.