# Meeting Details

Title: On a Separating Solution of a Recurrent Equation Center for Dynamics and Geometry Seminars I. Vinogradov, Princeton Consider a function f:[0,1] ->R, an initial value, and a sequence with that initial value given by a nonlinear recurrence. Depending on the initial value, the sequence can tend to zero, grow to infinity, tend to a positive limit, or do something else. We give conditions on f such that there exists a "separating solution" y: the sequence starting at y tends to a finite limit; the sequence starting with y'y tends to infinity. The problem exhibits exponential divergence of trajectories typical for hyperbolic systems. It originally came up in a paper of Sinai and Li on blowups of solutions to the 3d complex Navier-Stokes equation.

### Room Reservation Information

Room Number: MB106 10 / 29 / 2008 03:30pm - 05:30pm