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 |

Abstract: |

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 |

Date: | 10 / 29 / 2008 |

Time: | 03:30pm - 05:30pm |