The seminar meets on Tuesdays, 11:00-12:00, in 201

## This Week

#### Jean-Pierre Conze (*Rennes*)

### Asymptotic distributions for normalized ergodic sums over rotations

Let be a rotation on the circle and let be a function with bounded variation. Denote by the ergodic sums.

For a large class of ’s including irrationals with bounded partial quotients, we show decorrelation inequalities between the ergodic sums at time $q_k$, where the $q_k$’s are the denominators of $\alpha$.

This allows to study the asymptotic distribution of the ergodic sums $S_n(\varphi, x)$ after normalization, in particular for some step functions, along subsequences.

We will give also an application to a geometric model, the billiard flow in the plane with periodic rectangular obstacles when the flow is restricted to special directions.

## Fall 2017 meetings

### Upcoming Meetings

Date |
Title |
Speaker |
Abstract |
---|---|---|---|

Nov 21 | Asymptotic distributions for normalized ergodic sums over rotations | Jean-Pierre Conze (Rennes) | |

Nov 28 | Ergodic theorems for random walks on locally compact groups | Michael Lin (BGU) | |

Dec 5 | TBA | Oliver Sargent | |

Jan 9 | TBA | Jakub Konieczny (Hebrew University ) |

### Past Meetings

Date |
Title |
Speaker |
Abstract |
---|---|---|---|

Oct 31 | Operator ergodic theorems | Michael Lin (BGU) | |

Nov 7 | Markov Operators | Michael Lin (BGU) |

Seminar run by Prof Tom Meyerovitch and Dr Ariel Yadin