For more information about this meeting, contact Yakov Pesin, Anatole Katok, Svetlana Katok, Dmitri Burago.
|Title:||On a Separating Solution of a Recurrent Equation|
|Seminar:||Center for Dynamics and Geometry Seminars|
|Speaker:||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
|Date:||10 / 29 / 2008|
|Time:||03:30pm - 05:30pm|