For more information about this meeting, contact Anatole Katok, Federico Rodriguez Hertz, Stephanie Zerby, Boris Kalinin, Dmitri Burago.

Title: | The deterministic random walk |

Seminar: | Center for Dynamics and Geometry Seminars |

Speaker: | Omri Sarig, The Weizmann Institute for Science |

Abstract: |

The simple random walk on Z can be simulated by picking randomly uniformly in the unit interval, iterating T(x)=2x mod 1, and moving the "walker" one step to the right every time the orbit lands at [0,1/2) and one step to the left every time the orbit lands at [1/2,1).
What happens if we replace the chaotic T(x)=2x mod 1 by the zero entropy R(x)=x+\alpha mod 1 for \alpha irrational? The resulting process, called the "deterministic random walk", is again a recurrent zero drift walk -- but one that visits zero much more often.
This is a joint work with Avila, Dolgopyat, and Duriev |

### Room Reservation Information

Room Number: | MB114 |

Date: | 04 / 08 / 2013 |

Time: | 03:35pm - 04:35pm |